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dimensional boundary value problems</title> <meta name="description" content="Search results for: Two dimensional boundary value problems"> <meta name="keywords" content="Two dimensional boundary value problems"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science 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method="get" action="https://publications.waset.org/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="Two dimensional boundary value problems"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 4029</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: Two dimensional boundary value problems</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4029</span> The Performance of Alternating Top-Bottom Strategy for Successive Over Relaxation Scheme on Two Dimensional Boundary Value Problem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20K.%20Hasan">M. K. Hasan</a>, <a href="https://publications.waset.org/search?q=Y.%20H.%20Ng"> Y. H. Ng</a>, <a href="https://publications.waset.org/search?q=J.%20Sulaiman"> J. Sulaiman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper present the implementation of a new ordering strategy on Successive Overrelaxation scheme on two dimensional boundary value problems. The strategy involve two directions alternatingly; from top and bottom of the solution domain. The method shows to significantly reduce the iteration number to converge. Four numerical experiments were carried out to examine the performance of the new strategy.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Two%20dimensional%20boundary%20value%20problems" title="Two dimensional boundary value problems">Two dimensional boundary value problems</a>, <a href="https://publications.waset.org/search?q=Successive%20Overrelaxation%20scheme" title=" Successive Overrelaxation scheme"> Successive Overrelaxation scheme</a>, <a href="https://publications.waset.org/search?q=Alternating%20Top-Bottom%20strategy" title=" Alternating Top-Bottom strategy"> Alternating Top-Bottom strategy</a>, <a href="https://publications.waset.org/search?q=fast%20convergence" title=" fast convergence"> fast convergence</a> </p> <a href="https://publications.waset.org/9996580/the-performance-of-alternating-top-bottom-strategy-for-successive-over-relaxation-scheme-on-two-dimensional-boundary-value-problem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9996580/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9996580/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9996580/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9996580/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9996580/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9996580/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9996580/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9996580/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9996580/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9996580/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9996580.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1492</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4028</span> An Efficient Method for Solving Multipoint Equation Boundary Value Problems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ampon%20Dhamacharoen">Ampon Dhamacharoen</a>, <a href="https://publications.waset.org/search?q=Kanittha%20Chompuvised"> Kanittha Chompuvised</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, we solve multipoint boundary value problems where the boundary value conditions are equations using the Newton-Broyden Shooting method (NBSM).The proposed method is tested upon several problems from the literature and the results are compared with the available exact solution. The experiments are given to illustrate the efficiency and implementation of the method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Boundary%20value%20problem%3B%20Multipoint%20equation%0Aboundary%20value%20problems" title="Boundary value problem; Multipoint equation boundary value problems">Boundary value problem; Multipoint equation boundary value problems</a>, <a href="https://publications.waset.org/search?q=Shooting%20Method" title=" Shooting Method"> Shooting Method</a>, <a href="https://publications.waset.org/search?q=Newton-Broyden%0Amethod." title=" Newton-Broyden method."> Newton-Broyden method.</a> </p> <a href="https://publications.waset.org/7803/an-efficient-method-for-solving-multipoint-equation-boundary-value-problems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7803/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7803/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7803/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7803/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7803/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7803/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7803/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7803/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7803/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7803/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7803.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1786</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4027</span> A Meshfree Solution of Tow-Dimensional Potential Flow Problems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=I.%20V.%20Singh">I. V. Singh</a>, <a href="https://publications.waset.org/search?q=A.%20Singh"> A. Singh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, mesh-free element free Galerkin (EFG) method is extended to solve two-dimensional potential flow problems. Two ideal fluid flow problems (i.e. flow over a rigid cylinder and flow over a sphere) have been formulated using variational approach. Penalty and Lagrange multiplier techniques have been utilized for the enforcement of essential boundary conditions. Four point Gauss quadrature have been used for the integration on two-dimensional domain (Ω) and nodal integration scheme has been used to enforce the essential boundary conditions on the edges (┌). The results obtained by EFG method are compared with those obtained by finite element method. The effects of scaling and penalty parameters on EFG results have also been discussed in detail.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Meshless" title="Meshless">Meshless</a>, <a href="https://publications.waset.org/search?q=EFG%20method" title=" EFG method"> EFG method</a>, <a href="https://publications.waset.org/search?q=potential%20flow" title=" potential flow"> potential flow</a>, <a href="https://publications.waset.org/search?q=Lagrange%20multiplier%20method" title=" Lagrange multiplier method"> Lagrange multiplier method</a>, <a href="https://publications.waset.org/search?q=penalty%20method" title=" penalty method"> penalty method</a>, <a href="https://publications.waset.org/search?q=penalty%20parameter%20and%20scaling%20parameter" title=" penalty parameter and scaling parameter"> penalty parameter and scaling parameter</a> </p> <a href="https://publications.waset.org/1478/a-meshfree-solution-of-tow-dimensional-potential-flow-problems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1478/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1478/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1478/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1478/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1478/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1478/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1478/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1478/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1478/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1478/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1478.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1505</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4026</span> Variational Iteration Method for the Solution of Boundary Value Problems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Olayiwola%20M.O.">Olayiwola M.O.</a>, <a href="https://publications.waset.org/search?q=Gbolagade%20A%20.W."> Gbolagade A .W.</a>, <a href="https://publications.waset.org/search?q=Akinpelu%20F.%20O."> Akinpelu F. O.</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this work, we present a reliable framework to solve boundary value problems with particular significance in solid mechanics. These problems are used as mathematical models in deformation of beams. The algorithm rests mainly on a relatively new technique, the Variational Iteration Method. Some examples are given to confirm the efficiency and the accuracy of the method.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Variational%20iteration%20method" title="Variational iteration method">Variational iteration method</a>, <a href="https://publications.waset.org/search?q=boundary%20value%0D%0Aproblems" title=" boundary value problems"> boundary value problems</a>, <a href="https://publications.waset.org/search?q=convergence" title=" convergence"> convergence</a>, <a href="https://publications.waset.org/search?q=restricted%20variation." title=" restricted variation."> restricted variation.</a> </p> <a href="https://publications.waset.org/13556/variational-iteration-method-for-the-solution-of-boundary-value-problems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13556/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13556/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13556/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13556/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13556/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13556/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13556/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13556/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13556/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13556/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13556.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2104</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4025</span> Comparison Results of Two-point Fuzzy Boundary Value Problems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Hsuan-Ku%20Liu">Hsuan-Ku Liu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper investigates the solutions of two-point fuzzy boundary value problems as the form x = f(t, x(t)), x(0) = A and x(l) = B, where A and B are fuzzy numbers. There are four different solutions for the problems when the lateral type of H-derivative is employed to solve the problems. As f(t, x) is a monotone function of x, these four solutions are reduced to two different solutions. As f(t, x(t)) = λx(t) or f(t, x(t)) = -λx(t), solutions and several comparison results are presented to indicate advantages of each solution.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fuzzy%20derivative" title="Fuzzy derivative">Fuzzy derivative</a>, <a href="https://publications.waset.org/search?q=lateral%20type%20of%20H-derivative" title=" lateral type of H-derivative"> lateral type of H-derivative</a>, <a href="https://publications.waset.org/search?q=fuzzy%20differential%20equations" title=" fuzzy differential equations"> fuzzy differential equations</a>, <a href="https://publications.waset.org/search?q=fuzzy%20boundary%20value%20problems" title=" fuzzy boundary value problems"> fuzzy boundary value problems</a>, <a href="https://publications.waset.org/search?q=boundary%20value%20problems." title=" boundary value problems."> boundary value problems.</a> </p> <a href="https://publications.waset.org/4449/comparison-results-of-two-point-fuzzy-boundary-value-problems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4449/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4449/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4449/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4449/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4449/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4449/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4449/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4449/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4449/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4449/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4449.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1533</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4024</span> Application of Novel Conserving Immersed Boundary Method to Moving Boundary Problem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=S.%20N.%20Hosseini">S. N. Hosseini</a>, <a href="https://publications.waset.org/search?q=S.%20M.%20H.%20Karimian"> S. M. H. Karimian</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>A new conserving approach in the context of Immersed Boundary Method (IBM) is presented to simulate one dimensional, incompressible flow in a moving boundary problem. The method employs control volume scheme to simulate the flow field. The concept of ghost node is used at the boundaries to conserve the mass and momentum equations. The Present method implements the conservation laws in all cells including boundary control volumes. Application of the method is studied in a test case with moving boundary. Comparison between the results of this new method and a sharp interface (Image Point Method) IBM algorithm shows a well distinguished improvement in both pressure and velocity fields of the present method. Fluctuations in pressure field are fully resolved in this proposed method. This approach expands the IBM capability to simulate flow field for variety of problems by implementing conservation laws in a fully Cartesian grid compared to other conserving methods.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Immersed%20Boundary%20Method" title="Immersed Boundary Method">Immersed Boundary Method</a>, <a href="https://publications.waset.org/search?q=conservation%20of%20mass%20and%20momentum%20laws" title=" conservation of mass and momentum laws"> conservation of mass and momentum laws</a>, <a href="https://publications.waset.org/search?q=moving%20boundary" title=" moving boundary"> moving boundary</a>, <a href="https://publications.waset.org/search?q=boundary%20condition." title=" boundary condition."> boundary condition.</a> </p> <a href="https://publications.waset.org/7554/application-of-novel-conserving-immersed-boundary-method-to-moving-boundary-problem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7554/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7554/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7554/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7554/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7554/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7554/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7554/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7554/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7554/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7554/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7554.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1990</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4023</span> Numerical Computation of Sturm-Liouville Problem with Robin Boundary Condition</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Theddeus%20T.%20Akano">Theddeus T. Akano</a>, <a href="https://publications.waset.org/search?q=Omotayo%20A.%20Fakinlede"> Omotayo A. Fakinlede</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The modelling of physical phenomena, such as the earth’s free oscillations, the vibration of strings, the interaction of atomic particles, or the steady state flow in a bar give rise to Sturm- Liouville (SL) eigenvalue problems. The boundary applications of some systems like the convection-diffusion equation, electromagnetic and heat transfer problems requires the combination of Dirichlet and Neumann boundary conditions. Hence, the incorporation of Robin boundary condition in the analyses of Sturm-Liouville problem. This paper deals with the computation of the eigenvalues and eigenfunction of generalized Sturm-Liouville problems with Robin boundary condition using the finite element method. Numerical solution of classical Sturm–Liouville problem is presented. The results show an agreement with the exact solution. High results precision is achieved with higher number of elements. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Sturm-Liouville%20problem" title="Sturm-Liouville problem">Sturm-Liouville problem</a>, <a href="https://publications.waset.org/search?q=Robin%20boundary%20condition" title=" Robin boundary condition"> Robin boundary condition</a>, <a href="https://publications.waset.org/search?q=finite%20element%20method" title=" finite element method"> finite element method</a>, <a href="https://publications.waset.org/search?q=eigenvalue%20problems." title=" eigenvalue problems."> eigenvalue problems.</a> </p> <a href="https://publications.waset.org/10003055/numerical-computation-of-sturm-liouville-problem-with-robin-boundary-condition" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10003055/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10003055/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10003055/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10003055/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10003055/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10003055/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10003055/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10003055/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10003055/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10003055/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10003055.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2995</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4022</span> Solution of Two-Point Nonlinear Boundary Problems Using Taylor Series Approximation and the Ying Buzu Shu Algorithm</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=U.%20C.%20Amadi">U. C. Amadi</a>, <a href="https://publications.waset.org/search?q=N.%20A.%20Udoh"> N. A. Udoh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>One of the major challenges faced in solving initial and boundary problems is how to find approximate solutions with minimal deviation from the exact solution without so much rigor and complications. The Taylor series method provides a simple way of obtaining an infinite series which converges to the exact solution for initial value problems and this method of solution is somewhat limited for a two point boundary problem since the infinite series has to be truncated to include the boundary conditions. In this paper, the Ying Buzu Shu algorithm is used to solve a two point boundary nonlinear diffusion problem for the fourth and sixth order solution and compare their relative error and rate of convergence to the exact solution.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Ying%20Buzu%20Shu" title="Ying Buzu Shu">Ying Buzu Shu</a>, <a href="https://publications.waset.org/search?q=nonlinear%20boundary%20problem" title=" nonlinear boundary problem"> nonlinear boundary problem</a>, <a href="https://publications.waset.org/search?q=Taylor%20series%20algorithm" title=" Taylor series algorithm"> Taylor series algorithm</a>, <a href="https://publications.waset.org/search?q=infinite%20series." title=" infinite series."> infinite series.</a> </p> <a href="https://publications.waset.org/10012623/solution-of-two-point-nonlinear-boundary-problems-using-taylor-series-approximation-and-the-ying-buzu-shu-algorithm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10012623/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10012623/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10012623/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10012623/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10012623/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10012623/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10012623/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10012623/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10012623/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10012623/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10012623.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">458</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4021</span> Approximate Solution of Some Mixed Boundary Value Problems of the Generalized Theory of Couple-Stress Thermo-Elasticity</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20Chumburidze">M. Chumburidze</a>, <a href="https://publications.waset.org/search?q=D.%20Lekveishvili"> D. Lekveishvili</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>We have considered the harmonic oscillations and general dynamic (pseudo oscillations) systems of theory generalized Green-Lindsay of couple-stress thermo-elasticity for isotropic, homogeneous elastic media. Approximate solution of some mixed boundary value problems for finite domain, bounded by the some closed surface are constructed.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=The%20couple-stress%20thermo-elasticity" title="The couple-stress thermo-elasticity">The couple-stress thermo-elasticity</a>, <a href="https://publications.waset.org/search?q=boundary%20value%20problems." title=" boundary value problems."> boundary value problems.</a> </p> <a href="https://publications.waset.org/9998377/approximate-solution-of-some-mixed-boundary-value-problems-of-the-generalized-theory-of-couple-stress-thermo-elasticity" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9998377/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9998377/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9998377/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9998377/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9998377/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9998377/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9998377/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9998377/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9998377/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9998377/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9998377.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2031</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4020</span> A Boundary Backstepping Control Design for 2-D, 3-D and N-D Heat Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Aziz%20Sezgin">Aziz Sezgin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We consider the problem of stabilization of an unstable heat equation in a 2-D, 3-D and generally n-D domain by deriving a generalized backstepping boundary control design methodology. To stabilize the systems, we design boundary backstepping controllers inspired by the 1-D unstable heat equation stabilization procedure. We assume that one side of the boundary is hinged and the other side is controlled for each direction of the domain. Thus, controllers act on two boundaries for 2-D domain, three boundaries for 3-D domain and ”n” boundaries for n-D domain. The main idea of the design is to derive ”n” controllers for each of the dimensions by using ”n” kernel functions. Thus, we obtain ”n” controllers for the ”n” dimensional case. We use a transformation to change the system into an exponentially stable ”n” dimensional heat equation. The transformation used in this paper is a generalized Volterra/Fredholm type with ”n” kernel functions for n-D domain instead of the one kernel function of 1-D design. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Backstepping" title="Backstepping">Backstepping</a>, <a href="https://publications.waset.org/search?q=boundary%20control" title=" boundary control"> boundary control</a>, <a href="https://publications.waset.org/search?q=2-D" title=" 2-D"> 2-D</a>, <a href="https://publications.waset.org/search?q=3-D" title=" 3-D"> 3-D</a>, <a href="https://publications.waset.org/search?q=n-D%20heat%0D%0Aequation" title=" n-D heat equation"> n-D heat equation</a>, <a href="https://publications.waset.org/search?q=distributed%20parameter%20systems." title=" distributed parameter systems."> distributed parameter systems.</a> </p> <a href="https://publications.waset.org/10002727/a-boundary-backstepping-control-design-for-2-d-3-d-and-n-d-heat-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10002727/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10002727/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10002727/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10002727/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10002727/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10002727/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10002727/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10002727/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10002727/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10002727/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10002727.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1676</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4019</span> Existence of Solution for Four-Point Boundary Value Problems of Second-Order Impulsive Differential Equations (III)</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Li%20Ge">Li Ge</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we study the existence of solution of the four-point boundary value problem for second-order differential equations with impulses by using Leray-Schauder theory: <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=impulsive%20differential%20equations" title="impulsive differential equations">impulsive differential equations</a>, <a href="https://publications.waset.org/search?q=impulsive%20integraldifferential%20equation" title=" impulsive integraldifferential equation"> impulsive integraldifferential equation</a>, <a href="https://publications.waset.org/search?q=boundary%20value%20problems" title=" boundary value problems"> boundary value problems</a> </p> <a href="https://publications.waset.org/11223/existence-of-solution-for-four-point-boundary-value-problems-of-second-order-impulsive-differential-equations-iii" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/11223/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/11223/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/11223/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/11223/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/11223/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/11223/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/11223/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/11223/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/11223/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/11223/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/11223.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1169</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4018</span> Existence of Solution for Four-Point Boundary Value Problems of Second-Order Impulsive Differential Equations (I)</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Li%20Ge">Li Ge</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we study the existence of solution of the four-point boundary value problem for second-order differential equations with impulses by using leray-Schauder theory: <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=impulsive%20differential%20equations" title="impulsive differential equations">impulsive differential equations</a>, <a href="https://publications.waset.org/search?q=impulsive%20integraldifferentialequation" title=" impulsive integraldifferentialequation"> impulsive integraldifferentialequation</a>, <a href="https://publications.waset.org/search?q=boundary%20value%20problems" title=" boundary value problems"> boundary value problems</a> </p> <a href="https://publications.waset.org/800/existence-of-solution-for-four-point-boundary-value-problems-of-second-order-impulsive-differential-equations-i" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/800/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/800/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/800/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/800/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/800/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/800/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/800/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/800/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/800/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/800/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/800.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1195</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4017</span> Existence of Solution for Four-Point Boundary Value Problems of Second-Order Impulsive Differential Equations (II)</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Li%20Ge">Li Ge</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we study the existence of solution of the four-point boundary value problem for second-order differential equations with impulses by using leray-Schauder theory: <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=impulsive%20differential%20equations" title="impulsive differential equations">impulsive differential equations</a>, <a href="https://publications.waset.org/search?q=impulsive%20integraldifferentialequation" title=" impulsive integraldifferentialequation"> impulsive integraldifferentialequation</a>, <a href="https://publications.waset.org/search?q=boundary%20value%20problems" title=" boundary value problems"> boundary value problems</a> </p> <a href="https://publications.waset.org/3205/existence-of-solution-for-four-point-boundary-value-problems-of-second-order-impulsive-differential-equations-ii" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3205/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3205/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3205/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3205/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3205/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3205/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3205/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3205/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3205/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3205/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3205.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1100</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4016</span> Positive Solutions for a Class of Semipositone Discrete Boundary Value Problems with Two Parameters</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Benshi%20Zhu">Benshi Zhu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the existence, multiplicity and noexistence of positive solutions for a class of semipositone discrete boundary value problems with two parameters is studied by applying nonsmooth critical point theory and sub-super solutions method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Discrete%20boundary%20value%20problems" title="Discrete boundary value problems">Discrete boundary value problems</a>, <a href="https://publications.waset.org/search?q=nonsmoothcritical%20point%20theory" title=" nonsmoothcritical point theory"> nonsmoothcritical point theory</a>, <a href="https://publications.waset.org/search?q=positive%20solutions" title=" positive solutions"> positive solutions</a>, <a href="https://publications.waset.org/search?q=semipositone" title=" semipositone"> semipositone</a>, <a href="https://publications.waset.org/search?q=sub-super%20solutions%20method" title="sub-super solutions method">sub-super solutions method</a> </p> <a href="https://publications.waset.org/16003/positive-solutions-for-a-class-of-semipositone-discrete-boundary-value-problems-with-two-parameters" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16003/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16003/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16003/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16003/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16003/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16003/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16003/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16003/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16003/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16003/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16003.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1343</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4015</span> Cubic Trigonometric B-Spline Applied to Linear Two-Point Boundary Value Problems of Order Two</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Nur%20Nadiah%20Abd%20Hamid">Nur Nadiah Abd Hamid </a>, <a href="https://publications.waset.org/search?q=Ahmad%20Abd.%20Majid"> Ahmad Abd. Majid</a>, <a href="https://publications.waset.org/search?q=Ahmad%20Izani%20Md.%20Ismail"> Ahmad Izani Md. Ismail</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Linear two-point boundary value problems of order two are solved using cubic trigonometric B-spline interpolation method (CTBIM). Cubic trigonometric B-spline is a piecewise function consisting of trigonometric equations. This method is tested on some problems and the results are compared with cubic B-spline interpolation method (CBIM) from the literature. CTBIM is found to approximate the solution slightly more accurately than CBIM if the problems are trigonometric. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=trigonometric%20B-spline" title="trigonometric B-spline">trigonometric B-spline</a>, <a href="https://publications.waset.org/search?q=two-point%20boundary%20valueproblem" title=" two-point boundary valueproblem"> two-point boundary valueproblem</a>, <a href="https://publications.waset.org/search?q=spline%20interpolation" title=" spline interpolation"> spline interpolation</a>, <a href="https://publications.waset.org/search?q=cubic%20spline" title=" cubic spline"> cubic spline</a> </p> <a href="https://publications.waset.org/13902/cubic-trigonometric-b-spline-applied-to-linear-two-point-boundary-value-problems-of-order-two" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13902/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13902/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13902/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13902/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13902/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13902/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13902/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13902/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13902/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13902/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13902.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2581</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4014</span> Three Dimensional Dynamic Analysis of Water Storage Tanks Considering FSI Using FEM</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=S.%20Mahdi%20S.%20Kolbadi">S. Mahdi S. Kolbadi</a>, <a href="https://publications.waset.org/search?q=Ramezan%20Ali%20Alvand"> Ramezan Ali Alvand</a>, <a href="https://publications.waset.org/search?q=Afrasiab%20Mirzaei"> Afrasiab Mirzaei</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this study, to investigate and analyze the seismic behavior of concrete in open rectangular water storage tanks in two-dimensional and three-dimensional spaces, the Finite Element Method has been used. Through this method, dynamic responses can be investigated together in fluid storages system. Soil behavior has been simulated using tanks boundary conditions in linear form. In this research, in addition to flexibility of wall, the effects of fluid-structure interaction on seismic response of tanks have been investigated to account for the effects of flexible foundation in linear boundary conditions form, and a dynamic response of rectangular tanks in two-dimensional and three-dimensional spaces using finite element method has been provided. The boundary conditions of both rigid and flexible walls in two-dimensional finite element method have been considered to investigate the effect of wall flexibility on seismic response of fluid and storage system. Furthermore, three-dimensional model of fluid-structure interaction issue together with wall flexibility has been analyzed under the three components of earthquake. The obtained results show that two-dimensional model is also accurately near to the results of three-dimension as well as flexibility of foundation leads to absorb received energy and relative reduction of responses.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Dynamic%20behavior" title="Dynamic behavior">Dynamic behavior</a>, <a href="https://publications.waset.org/search?q=water%20storage%20tank" title=" water storage tank"> water storage tank</a>, <a href="https://publications.waset.org/search?q=fluid-structure%20interaction" title=" fluid-structure interaction"> fluid-structure interaction</a>, <a href="https://publications.waset.org/search?q=flexible%20wall." title=" flexible wall. "> flexible wall. </a> </p> <a href="https://publications.waset.org/10009126/three-dimensional-dynamic-analysis-of-water-storage-tanks-considering-fsi-using-fem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10009126/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10009126/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10009126/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10009126/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10009126/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10009126/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10009126/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10009126/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10009126/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10009126/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10009126.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">982</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4013</span> An Asymptotic Solution for the Free Boundary Parabolic Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Hsuan-Ku%20Liu">Hsuan-Ku Liu</a>, <a href="https://publications.waset.org/search?q=Ming%20Long%20Liu"> Ming Long Liu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we investigate the solution of a two dimensional parabolic free boundary problem. The free boundary of this problem is modelled as a nonlinear integral equation (IE). For this integral equation, we propose an asymptotic solution as time is near to maturity and develop an integral iterative method. The computational results reveal that our asymptotic solution is very close to the numerical solution as time is near to maturity.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Integral%20equation" title="Integral equation">Integral equation</a>, <a href="https://publications.waset.org/search?q=asymptotic%20solution" title=" asymptotic solution"> asymptotic solution</a>, <a href="https://publications.waset.org/search?q=free%20boundary%20problem" title=" free boundary problem"> free boundary problem</a>, <a href="https://publications.waset.org/search?q=American%20exchange%20option." title=" American exchange option."> American exchange option.</a> </p> <a href="https://publications.waset.org/13499/an-asymptotic-solution-for-the-free-boundary-parabolic-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13499/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13499/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13499/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13499/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13499/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13499/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13499/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13499/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13499/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13499/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13499.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1474</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4012</span> Fourier Galerkin Approach to Wave Equation with Absorbing Boundary Conditions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Alexandra%20Leukauf">Alexandra Leukauf</a>, <a href="https://publications.waset.org/search?q=Alexander%20Schirrer"> Alexander Schirrer</a>, <a href="https://publications.waset.org/search?q=Emir%20Talic"> Emir Talic</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Numerical computation of wave propagation in a large domain usually requires significant computational effort. Hence, the considered domain must be truncated to a smaller domain of interest. In addition, special boundary conditions, which absorb the outward travelling waves, need to be implemented in order to describe the system domains correctly. In this work, the linear one dimensional wave equation is approximated by utilizing the Fourier Galerkin approach. Furthermore, the artificial boundaries are realized with absorbing boundary conditions. Within this work, a systematic work flow for setting up the wave problem, including the absorbing boundary conditions, is proposed. As a result, a convenient modal system description with an effective absorbing boundary formulation is established. Moreover, the truncated model shows high accuracy compared to the global domain. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Absorbing%20boundary%20conditions" title="Absorbing boundary conditions">Absorbing boundary conditions</a>, <a href="https://publications.waset.org/search?q=boundary%20control" title=" boundary control"> boundary control</a>, <a href="https://publications.waset.org/search?q=Fourier%20Galerkin%20approach" title=" Fourier Galerkin approach"> Fourier Galerkin approach</a>, <a href="https://publications.waset.org/search?q=modal%20approach" title=" modal approach"> modal approach</a>, <a href="https://publications.waset.org/search?q=wave%20equation." title=" wave equation."> wave equation.</a> </p> <a href="https://publications.waset.org/10007741/fourier-galerkin-approach-to-wave-equation-with-absorbing-boundary-conditions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10007741/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10007741/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10007741/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10007741/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10007741/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10007741/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10007741/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10007741/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10007741/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10007741/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10007741.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">888</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4011</span> Non-Polynomial Spline Solution of Fourth-Order Obstacle Boundary-Value Problems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jalil%20Rashidinia">Jalil Rashidinia</a>, <a href="https://publications.waset.org/search?q=Reza%20Jalilian"> Reza Jalilian</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper we use quintic non-polynomial spline functions to develop numerical methods for approximation to the solution of a system of fourth-order boundaryvalue problems associated with obstacle, unilateral and contact problems. The convergence analysis of the methods has been discussed and shown that the given approximations are better than collocation and finite difference methods. Numerical examples are presented to illustrate the applications of these methods, and to compare the computed results with other known methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Quintic%20non-polynomial%20spline" title="Quintic non-polynomial spline">Quintic non-polynomial spline</a>, <a href="https://publications.waset.org/search?q=Boundary%20formula" title=" Boundary formula"> Boundary formula</a>, <a href="https://publications.waset.org/search?q=Convergence" title="Convergence">Convergence</a>, <a href="https://publications.waset.org/search?q=Obstacle%20problems." title=" Obstacle problems."> Obstacle problems.</a> </p> <a href="https://publications.waset.org/1642/non-polynomial-spline-solution-of-fourth-order-obstacle-boundary-value-problems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1642/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1642/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1642/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1642/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1642/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1642/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1642/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1642/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1642/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1642/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1642.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1819</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4010</span> Natural Convection Boundary Layer Flow of a Viscoelastic Fluid on Solid Sphere with Newtonian Heating</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=A.R.M.%20Kasim">A.R.M. Kasim</a>, <a href="https://publications.waset.org/search?q=N.F.%20Mohammad"> N.F. Mohammad</a>, <a href="https://publications.waset.org/search?q=Aurangzaib"> Aurangzaib</a>, <a href="https://publications.waset.org/search?q=S.%20Sharidan"> S. Sharidan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The present paper considers the steady free convection boundary layer flow of a viscoelastic fluid on solid sphere with Newtonian heating. The boundary layer equations are an order higher than those for the Newtonian (viscous) fluid and the adherence boundary conditions are insufficient to determine the solution of these equations completely. Thus, the augmentation an extra boundary condition is needed to perform the numerical computational. The governing boundary layer equations are first transformed into non-dimensional form by using special dimensionless group and then solved by using an implicit finite difference scheme. The results are displayed graphically to illustrate the influence of viscoelastic K and Prandtl Number Pr parameters on skin friction, heat transfer, velocity profiles and temperature profiles. Present results are compared with the published papers and are found to concur very well. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=boundary%20layer%20flow" title="boundary layer flow">boundary layer flow</a>, <a href="https://publications.waset.org/search?q=Newtonian%20heating" title=" Newtonian heating"> Newtonian heating</a>, <a href="https://publications.waset.org/search?q=sphere" title=" sphere"> sphere</a>, <a href="https://publications.waset.org/search?q=viscoelastic%20fluid." title=" viscoelastic fluid."> viscoelastic fluid.</a> </p> <a href="https://publications.waset.org/728/natural-convection-boundary-layer-flow-of-a-viscoelastic-fluid-on-solid-sphere-with-newtonian-heating" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/728/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/728/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/728/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/728/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/728/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/728/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/728/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/728/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/728/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/728/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/728.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2408</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4009</span> An Application of the Sinc-Collocation Method to a Three-Dimensional Oceanography Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Y.%20Mohseniahouei">Y. Mohseniahouei</a>, <a href="https://publications.waset.org/search?q=K.%20Abdella"> K. Abdella</a>, <a href="https://publications.waset.org/search?q=M.%20Pollanen"> M. Pollanen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we explore the applicability of the Sinc- Collocation method to a three-dimensional (3D) oceanography model. The model describes a wind-driven current with depth-dependent eddy viscosity in the complex-velocity system. In general, the Sinc-based methods excel over other traditional numerical methods due to their exponentially decaying errors, rapid convergence and handling problems in the presence of singularities in end-points. Together with these advantages, the Sinc-Collocation approach that we utilize exploits first derivative interpolation, whose integration is much less sensitive to numerical errors. We bring up several model problems to prove the accuracy, stability, and computational efficiency of the method. The approximate solutions determined by the Sinc-Collocation technique are compared to exact solutions and those obtained by the Sinc-Galerkin approach in earlier studies. Our findings indicate that the Sinc-Collocation method outperforms other Sinc-based methods in past studies. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Boundary%20Value%20Problems" title="Boundary Value Problems">Boundary Value Problems</a>, <a href="https://publications.waset.org/search?q=Differential%20Equations" title=" Differential Equations"> Differential Equations</a>, <a href="https://publications.waset.org/search?q=Sinc%20Numerical%20Methods" title="Sinc Numerical Methods">Sinc Numerical Methods</a>, <a href="https://publications.waset.org/search?q=Wind-Driven%20Currents" title=" Wind-Driven Currents"> Wind-Driven Currents</a> </p> <a href="https://publications.waset.org/3959/an-application-of-the-sinc-collocation-method-to-a-three-dimensional-oceanography-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3959/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3959/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3959/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3959/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3959/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3959/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3959/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3959/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3959/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3959/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3959.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1851</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4008</span> Numerical Investigation of Two-dimensional Boundary Layer Flow Over a Moving Surface</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mahmoud%20Zarrini">Mahmoud Zarrini</a>, <a href="https://publications.waset.org/search?q=R.N.%20Pralhad"> R.N. Pralhad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this chapter, we have studied Variation of velocity in incompressible fluid over a moving surface. The boundary layer equations are on a fixed or continuously moving flat plate in the same or opposite direction to the free stream with suction and injection. The boundary layer equations are transferred from partial differential equations to ordinary differential equations. Numerical solutions are obtained by using Runge-Kutta and Shooting methods. We have found numerical solution to velocity and skin friction coefficient.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Boundary%20layer" title="Boundary layer">Boundary layer</a>, <a href="https://publications.waset.org/search?q=continuously%20moving%20surface" title=" continuously moving surface"> continuously moving surface</a>, <a href="https://publications.waset.org/search?q=shooting%20method" title=" shooting method"> shooting method</a>, <a href="https://publications.waset.org/search?q=skin%20friction%20coefficient." title=" skin friction coefficient."> skin friction coefficient.</a> </p> <a href="https://publications.waset.org/15641/numerical-investigation-of-two-dimensional-boundary-layer-flow-over-a-moving-surface" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15641/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15641/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15641/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15641/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15641/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15641/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15641/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15641/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15641/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15641/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15641.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1576</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4007</span> Investigation of Increasing the Heat Transfer from Flat Surfaces Using Boundary Layer Excitation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.H.Ghaffari">M.H.Ghaffari</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The present study is concerned with effect of exciting boundary layer on increase in heat transfer from flat surfaces. As any increase in heat transfer between a fluid inside a face and another one outside of it can cause an increase in some equipment's efficiency, so at this present we have tried to increase the wall's heat transfer coefficient by exciting the fluid boundary layer. By a collision between flow and the placed block at the fluid way, the flow pattern and the boundary layer stability will change. The flow way inside the channel is simulated as a 2&3-dimensional channel by Gambit TM software. With studying the achieved results by this simulation for the flow way inside the channel with a block coordinating with Fluent TM software, it's determined that the figure and dimensions of the exciter are too important for exciting the boundary layer so that any increase in block dimensions in vertical side against the flow and any reduction in its dimensions at the flow side can increase the average heat transfer coefficient from flat surface and increase the flow pressure loss. Using 2&3-dimensional analysis on exciting the flow at the flow way inside a channel by cylindrical block at the same time with the external flow, we came to this conclusion that the heat flux transferred from the surface, is increased considerably in terms of the condition without excitation. Also, the k-e turbulence model is used. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Cooling" title="Cooling">Cooling</a>, <a href="https://publications.waset.org/search?q=Heat%20transfer" title=" Heat transfer"> Heat transfer</a>, <a href="https://publications.waset.org/search?q=Turbulence" title=" Turbulence"> Turbulence</a>, <a href="https://publications.waset.org/search?q=Excitingboundary%20layer." title=" Excitingboundary layer."> Excitingboundary layer.</a> </p> <a href="https://publications.waset.org/6521/investigation-of-increasing-the-heat-transfer-from-flat-surfaces-using-boundary-layer-excitation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6521/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6521/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6521/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6521/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6521/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6521/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6521/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6521/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6521/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6521/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6521.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1199</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4006</span> High Accuracy Eigensolutions in Elasticity for Boundary Integral Equations by Nyström Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Pan%20Cheng">Pan Cheng</a>, <a href="https://publications.waset.org/search?q=Jin%20Huang"> Jin Huang</a>, <a href="https://publications.waset.org/search?q=Guang%20Zeng"> Guang Zeng</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Elastic boundary eigensolution problems are converted into boundary integral equations by potential theory. The kernels of the boundary integral equations have both the logarithmic and Hilbert singularity simultaneously. We present the mechanical quadrature methods for solving eigensolutions of the boundary integral equations by dealing with two kinds of singularities at the same time. The methods possess high accuracy O(h3) and low computing complexity. The convergence and stability are proved based on Anselone-s collective compact theory. Bases on the asymptotic error expansion with odd powers, we can greatly improve the accuracy of the approximation, and also derive a posteriori error estimate which can be used for constructing self-adaptive algorithms. The efficiency of the algorithms are illustrated by numerical examples. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=boundary%20integral%20equation" title="boundary integral equation">boundary integral equation</a>, <a href="https://publications.waset.org/search?q=extrapolation%20algorithm" title=" extrapolation algorithm"> extrapolation algorithm</a>, <a href="https://publications.waset.org/search?q=aposteriori%20error%20estimate" title=" aposteriori error estimate"> aposteriori error estimate</a>, <a href="https://publications.waset.org/search?q=elasticity." title=" elasticity."> elasticity.</a> </p> <a href="https://publications.waset.org/8347/high-accuracy-eigensolutions-in-elasticity-for-boundary-integral-equations-by-nystrom-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8347/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8347/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8347/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8347/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8347/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8347/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8347/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8347/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8347/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8347/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8347.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3646</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4005</span> Parallel Algorithm for Numerical Solution of Three-Dimensional Poisson Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Alibek%20Issakhov">Alibek Issakhov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper developed and realized absolutely new algorithm for solving three-dimensional Poisson equation. This equation used in research of turbulent mixing, computational fluid dynamics, atmospheric front, and ocean flows and so on. Moreover in the view of rising productivity of difficult calculation there was applied the most up-to-date and the most effective parallel programming technology - MPI in combination with OpenMP direction, that allows to realize problems with very large data content. Resulted products can be used in solving of important applications and fundamental problems in mathematics and physics. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=MPI" title="MPI">MPI</a>, <a href="https://publications.waset.org/search?q=OpenMP" title=" OpenMP"> OpenMP</a>, <a href="https://publications.waset.org/search?q=three%20dimensional%20Poisson%20equation" title=" three dimensional Poisson equation"> three dimensional Poisson equation</a> </p> <a href="https://publications.waset.org/8613/parallel-algorithm-for-numerical-solution-of-three-dimensional-poisson-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8613/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8613/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8613/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8613/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8613/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8613/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8613/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8613/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8613/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8613/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8613.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1695</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4004</span> Genetic Algorithm Approach for Solving the Falkner–Skan Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Indu%20Saini">Indu Saini</a>, <a href="https://publications.waset.org/search?q=Phool%20Singh"> Phool Singh</a>, <a href="https://publications.waset.org/search?q=Vikas%20Malik"> Vikas Malik </a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>A novel method based on Genetic Algorithm to solve the boundary value problems (BVPs) of the Falkner–Skan equation over a semi-infinite interval has been presented. In our approach, we use the free boundary formulation to truncate the semi-infinite interval into a finite one. Then we use the shooting method based on Genetic Algorithm to transform the BVP into initial value problems (IVPs). Genetic Algorithm is used to calculate shooting angle. The initial value problems arisen during shooting are computed by Runge-Kutta Fehlberg method. The numerical solutions obtained by the present method are in agreement with those obtained by previous authors.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Boundary%20Layer%20Flow" title="Boundary Layer Flow">Boundary Layer Flow</a>, <a href="https://publications.waset.org/search?q=Falkner%E2%80%93Skan%20equation" title=" Falkner–Skan equation"> Falkner–Skan equation</a>, <a href="https://publications.waset.org/search?q=Genetic%20Algorithm" title=" Genetic Algorithm"> Genetic Algorithm</a>, <a href="https://publications.waset.org/search?q=Shooting%20method." title=" Shooting method. "> Shooting method. </a> </p> <a href="https://publications.waset.org/17407/genetic-algorithm-approach-for-solving-the-falkner-skan-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/17407/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/17407/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/17407/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/17407/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/17407/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/17407/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/17407/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/17407/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/17407/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/17407/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/17407.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2510</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4003</span> Haar wavelet Method for Solving Initial and Boundary Value Problems of Bratu-type</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=S.G.Venkatesh">S.G.Venkatesh</a>, <a href="https://publications.waset.org/search?q=S.K.Ayyaswamy"> S.K.Ayyaswamy</a>, <a href="https://publications.waset.org/search?q=G.Hariharan"> G.Hariharan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we present a framework to determine Haar solutions of Bratu-type equations that are widely applicable in fuel ignition of the combustion theory and heat transfer. The method is proposed by applying Haar series for the highest derivatives and integrate the series. Several examples are given to confirm the efficiency and the accuracy of the proposed algorithm. The results show that the proposed way is quite reasonable when compared to exact solution.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Haar%20wavelet%20method" title="Haar wavelet method">Haar wavelet method</a>, <a href="https://publications.waset.org/search?q=Bratu%27s%20problem" title=" Bratu's problem"> Bratu's problem</a>, <a href="https://publications.waset.org/search?q=boundary%20value%20problems" title=" boundary value problems"> boundary value problems</a>, <a href="https://publications.waset.org/search?q=initial%20value%20problems" title=" initial value problems"> initial value problems</a>, <a href="https://publications.waset.org/search?q=adomain%20decomposition%20method." title=" adomain decomposition method."> adomain decomposition method.</a> </p> <a href="https://publications.waset.org/4590/haar-wavelet-method-for-solving-initial-and-boundary-value-problems-of-bratu-type" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4590/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4590/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4590/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4590/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4590/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4590/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4590/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4590/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4590/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4590/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4590.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2966</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4002</span> Mathematical Modeling of Storm Surge in Three Dimensional Primitive Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Worachat%20Wannawong">Worachat Wannawong</a>, <a href="https://publications.waset.org/search?q=Usa%20W.%20HumphriesPrungchan%20Wongwises"> Usa W. HumphriesPrungchan Wongwises</a>, <a href="https://publications.waset.org/search?q=Suphat%20Vongvisessomjai"> Suphat Vongvisessomjai</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The mathematical modeling of storm surge in sea and coastal regions such as the South China Sea (SCS) and the Gulf of Thailand (GoT) are important to study the typhoon characteristics. The storm surge causes an inundation at a lateral boundary exhibiting in the coastal zones particularly in the GoT and some part of the SCS. The model simulations in the three dimensional primitive equations with a high resolution model are important to protect local properties and human life from the typhoon surges. In the present study, the mathematical modeling is used to simulate the typhoon–induced surges in three case studies of Typhoon Linda 1997. The results of model simulations at the tide gauge stations can describe the characteristics of storm surges at the coastal zones. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=lateral%20boundary" title="lateral boundary">lateral boundary</a>, <a href="https://publications.waset.org/search?q=mathematical%20modeling" title=" mathematical modeling"> mathematical modeling</a>, <a href="https://publications.waset.org/search?q=numericalsimulations" title=" numericalsimulations"> numericalsimulations</a>, <a href="https://publications.waset.org/search?q=three%20dimensional%20primitive%20equations" title=" three dimensional primitive equations"> three dimensional primitive equations</a>, <a href="https://publications.waset.org/search?q=storm%20surge." title=" storm surge."> storm surge.</a> </p> <a href="https://publications.waset.org/6330/mathematical-modeling-of-storm-surge-in-three-dimensional-primitive-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6330/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6330/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6330/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6330/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6330/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6330/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6330/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6330/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6330/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6330/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6330.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3440</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4001</span> Modeling and Simulating Human Arm Movement Using a 2 Dimensional 3 Segments Coupled Pendulum System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Loay%20A.%20Al-Zu%27be">Loay A. Al-Zu'be</a>, <a href="https://publications.waset.org/search?q=Asma%20A.%20Al-Tamimi"> Asma A. Al-Tamimi</a>, <a href="https://publications.waset.org/search?q=Thakir%20D.%20Al-Momani"> Thakir D. Al-Momani</a>, <a href="https://publications.waset.org/search?q=Ayat%20J.%20Alkarala"> Ayat J. Alkarala</a>, <a href="https://publications.waset.org/search?q=Maryam%20A.%20Alzawahreh"> Maryam A. Alzawahreh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>A two dimensional three segments coupled pendulum system that mathematically models human arm configuration was developed along with constructing and solving the equations of motions for this model using the energy (work) based approach of Lagrange. The equations of motion of the model were solved iteratively both as an initial value problem and as a two point boundary value problem. In the initial value problem solutions, both the initial system configuration (segment angles) and initial system velocity (segment angular velocities) were used as inputs, whereas, in the two point boundary value problem solutions initial and final configurations and time were used as inputs to solve for the trajectory of motion. The results suggest that the model solutions are sensitive to small changes in the dynamic forces applied to the system as well as to the initial and boundary conditions used. To overcome the system sensitivity a new approach is suggested.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Body%20Configurations" title="Body Configurations">Body Configurations</a>, <a href="https://publications.waset.org/search?q=Equations%20of%20Motion" title=" Equations of Motion"> Equations of Motion</a>, <a href="https://publications.waset.org/search?q=Mathematical%20Modeling" title=" Mathematical Modeling"> Mathematical Modeling</a>, <a href="https://publications.waset.org/search?q=Movement%20Trajectories." title=" Movement Trajectories."> Movement Trajectories.</a> </p> <a href="https://publications.waset.org/2223/modeling-and-simulating-human-arm-movement-using-a-2-dimensional-3-segments-coupled-pendulum-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2223/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2223/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2223/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2223/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2223/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2223/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2223/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2223/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2223/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2223/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2223.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2158</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4000</span> Triggering Supersonic Boundary-Layer Instability by Small-Scale Vortex Shedding</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Guohua%20Tu">Guohua Tu</a>, <a href="https://publications.waset.org/search?q=Zhi%20Fu"> Zhi Fu</a>, <a href="https://publications.waset.org/search?q=Zhiwei%20Hu"> Zhiwei Hu</a>, <a href="https://publications.waset.org/search?q=Neil%20D%20Sandham"> Neil D Sandham</a>, <a href="https://publications.waset.org/search?q=Jianqiang%20Chen"> Jianqiang Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Tripping of boundary-layers from laminar to turbulent flow, which may be necessary in specific practical applications, requires high amplitude disturbances to be introduced into the boundary layers without large drag penalties. As a possible improvement on fixed trip devices, a technique based on vortex shedding for enhancing supersonic flow transition is demonstrated in the present paper for a Mach 1.5 boundary layer. The compressible Navier-Stokes equations are solved directly using a high-order (fifth-order in space and third-order in time) finite difference method for small-scale cylinders suspended transversely near the wall. For cylinders with proper diameter and mount location, asymmetry vortices shed within the boundary layer are capable of tripping laminar-turbulent transition. Full three-dimensional simulations showed that transition was enhanced. A parametric study of the size and mounting location of the cylinder is carried out to identify the most effective setup. It is also found that the vortex shedding can be suppressed by some factors such as wall effect.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Boundary%20layer%20instability" title="Boundary layer instability">Boundary layer instability</a>, <a href="https://publications.waset.org/search?q=boundary%20layer%20transition" title=" boundary layer transition"> boundary layer transition</a>, <a href="https://publications.waset.org/search?q=vortex%20shedding" title=" vortex shedding"> vortex shedding</a>, <a href="https://publications.waset.org/search?q=supersonic%20flows" title=" supersonic flows"> supersonic flows</a>, <a href="https://publications.waset.org/search?q=flow%20control." title=" flow control. "> flow control. </a> </p> <a href="https://publications.waset.org/10011817/triggering-supersonic-boundary-layer-instability-by-small-scale-vortex-shedding" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10011817/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10011817/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10011817/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10011817/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10011817/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10011817/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a 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