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approach</title> <meta name="description" content="Search results for: lagrange approach"> <meta name="keywords" content="lagrange approach"> <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 Research Excellence" /> </a> <button class="d-block d-lg-none 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action="https://publications.waset.org/abstracts/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="lagrange approach"> <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> 13914</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: lagrange approach</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13914</span> PID Control of Quad-Rotor Unnamed Vehicle Based on Lagrange Approach Modelling</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Benbouali">A. Benbouali</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20Saidi"> H. Saidi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Derrouazin"> A. Derrouazin</a>, <a href="https://publications.waset.org/abstracts/search?q=T.%20Bessaad"> T. Bessaad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Aerial robotics is a very exciting research field dealing with a variety of subjects, including the attitude control. This paper deals with the control of a four rotor vertical take-off and landing (VTOL) Unmanned Aerial Vehicle. The paper presents a mathematical model based on the approach of Lagrange for the flight control of an autonomous quad-rotor. It also describes the controller architecture which is based on PID regulators. The control method has been simulated in closed loop in different situations. All the calculation stages and the simulation results have been detailed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quad-rotor" title="quad-rotor">quad-rotor</a>, <a href="https://publications.waset.org/abstracts/search?q=lagrange%20approach" title=" lagrange approach"> lagrange approach</a>, <a href="https://publications.waset.org/abstracts/search?q=proportional%20integral%20derivate%20%28PID%29%20controller" title=" proportional integral derivate (PID) controller"> proportional integral derivate (PID) controller</a>, <a href="https://publications.waset.org/abstracts/search?q=Matlab%2FSimulink" title=" Matlab/Simulink"> Matlab/Simulink</a> </p> <a href="https://publications.waset.org/abstracts/41867/pid-control-of-quad-rotor-unnamed-vehicle-based-on-lagrange-approach-modelling" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/41867.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">400</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13913</span> Element-Independent Implementation for Method of Lagrange Multipliers</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gil-Eon%20Jeong">Gil-Eon Jeong</a>, <a href="https://publications.waset.org/abstracts/search?q=Sung-Kie%20Youn"> Sung-Kie Youn</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20C.%20Park"> K. C. Park</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Treatment for the non-matching interface is an important computational issue. To handle this problem, the method of Lagrange multipliers including classical and localized versions are the most popular technique. It essentially imposes the interface compatibility conditions by introducing Lagrange multipliers. However, the numerical system becomes unstable and inefficient due to the Lagrange multipliers. The interface element-independent formulation that does not include the Lagrange multipliers can be obtained by modifying the independent variables mathematically. Through this modification, more efficient and stable system can be achieved while involving equivalent accuracy comparing with the conventional method. A numerical example is conducted to verify the validity of the presented method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=element-independent%20formulation" title="element-independent formulation">element-independent formulation</a>, <a href="https://publications.waset.org/abstracts/search?q=interface%20coupling" title=" interface coupling"> interface coupling</a>, <a href="https://publications.waset.org/abstracts/search?q=methods%20of%20Lagrange%20multipliers" title=" methods of Lagrange multipliers"> methods of Lagrange multipliers</a>, <a href="https://publications.waset.org/abstracts/search?q=non-matching%20interface" title=" non-matching interface"> non-matching interface</a> </p> <a href="https://publications.waset.org/abstracts/62168/element-independent-implementation-for-method-of-lagrange-multipliers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/62168.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">403</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13912</span> Fast and Efficient Algorithms for Evaluating Uniform and Nonuniform Lagrange and Newton Curves</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Taweechai%20Nuntawisuttiwong">Taweechai Nuntawisuttiwong</a>, <a href="https://publications.waset.org/abstracts/search?q=Natasha%20Dejdumrong"> Natasha Dejdumrong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Newton-Lagrange Interpolations are widely used in numerical analysis. However, it requires a quadratic computational time for their constructions. In computer aided geometric design (CAGD), there are some polynomial curves: Wang-Ball, DP and Dejdumrong curves, which have linear time complexity algorithms. Thus, the computational time for Newton-Lagrange Interpolations can be reduced by applying the algorithms of Wang-Ball, DP and Dejdumrong curves. In order to use Wang-Ball, DP and Dejdumrong algorithms, first, it is necessary to convert Newton-Lagrange polynomials into Wang-Ball, DP or Dejdumrong polynomials. In this work, the algorithms for converting from both uniform and non-uniform Newton-Lagrange polynomials into Wang-Ball, DP and Dejdumrong polynomials are investigated. Thus, the computational time for representing Newton-Lagrange polynomials can be reduced into linear complexity. In addition, the other utilizations of using CAGD curves to modify the Newton-Lagrange curves can be taken. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20interpolation" title="Lagrange interpolation">Lagrange interpolation</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20complexity" title=" linear complexity"> linear complexity</a>, <a href="https://publications.waset.org/abstracts/search?q=monomial%20matrix" title=" monomial matrix"> monomial matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=Newton%20interpolation" title=" Newton interpolation"> Newton interpolation</a> </p> <a href="https://publications.waset.org/abstracts/110424/fast-and-efficient-algorithms-for-evaluating-uniform-and-nonuniform-lagrange-and-newton-curves" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/110424.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">234</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13911</span> Hydrodynamic Simulation of Co-Current and Counter Current of Column Distillation Using Euler Lagrange Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=H.%20Troudi">H. Troudi</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Ghiss"> M. Ghiss</a>, <a href="https://publications.waset.org/abstracts/search?q=Z.%20Tourki"> Z. Tourki</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Ellejmi"> M. Ellejmi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Packed columns of liquefied petroleum gas (LPG) consists of separating the liquid mixture of propane and butane to pure gas components by the distillation phenomenon. The flow of the gas and liquid inside the columns is operated by two ways: The co-current and the counter current operation. Heat, mass and species transfer between phases represent the most important factors that influence the choice between those two operations. In this paper, both processes are discussed using computational CFD simulation through ANSYS-Fluent software. Only 3D half section of the packed column was considered with one packed bed. The packed bed was characterized in our case as a porous media. The simulations were carried out at transient state conditions. A multi-component gas and liquid mixture were used out in the two processes. We utilized the Euler-Lagrange approach in which the gas was treated as a continuum phase and the liquid as a group of dispersed particles. The heat and the mass transfer process was modeled using multi-component droplet evaporation approach. The results show that the counter-current process performs better than the co-current, although such limitations of our approach are noted. This comparison gives accurate results for computations times higher than 2 s, at different gas velocity and at packed bed porosity of 0.9. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=co-current" title="co-current">co-current</a>, <a href="https://publications.waset.org/abstracts/search?q=counter-current" title=" counter-current"> counter-current</a>, <a href="https://publications.waset.org/abstracts/search?q=Euler-Lagrange%20model" title=" Euler-Lagrange model"> Euler-Lagrange model</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer" title=" heat transfer"> heat transfer</a>, <a href="https://publications.waset.org/abstracts/search?q=mass%20transfer" title=" mass transfer"> mass transfer</a> </p> <a href="https://publications.waset.org/abstracts/60813/hydrodynamic-simulation-of-co-current-and-counter-current-of-column-distillation-using-euler-lagrange-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/60813.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">212</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13910</span> Using Divergent Nozzle with Aerodynamic Lens to Focus Nanoparticles</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hasan%20Jumaah%20Mrayeh">Hasan Jumaah Mrayeh</a>, <a href="https://publications.waset.org/abstracts/search?q=Fue-Sang%20Lien"> Fue-Sang Lien</a> </p> <p class="card-text"><strong>Abstract:</strong></p> ANSYS Fluent will be used to simulate Computational Fluid Dynamics (CFD) for an efficient lens and nozzle design which will be explained in this paper. We have designed and characterized an aerodynamic lens and a divergent nozzle for focusing flow that transmits sub 25 nm particles through the aerodynamic lens. The design of the lens and nozzle has been improved using CFD for particle trajectories. We obtained a case for calculating nanoparticles (25 nm) flowing through the aerodynamic lens and divergent nozzle. Nanoparticles are transported by air, which is pumped into the aerodynamic lens through the nozzle at 1 atmospheric pressure. We have also developed a computational methodology that can determine the exact focus characteristics of aerodynamic lens systems. Particle trajectories were traced using the Lagrange approach. The simulation shows the ability of the aerodynamic lens to focus on 25 nm particles after using a divergent nozzle. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=aerodynamic%20lens" title="aerodynamic lens">aerodynamic lens</a>, <a href="https://publications.waset.org/abstracts/search?q=divergent%20nozzle" title=" divergent nozzle"> divergent nozzle</a>, <a href="https://publications.waset.org/abstracts/search?q=ANSYS%20Fluent" title=" ANSYS Fluent"> ANSYS Fluent</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20approach" title=" Lagrange approach"> Lagrange approach</a> </p> <a href="https://publications.waset.org/abstracts/106210/using-divergent-nozzle-with-aerodynamic-lens-to-focus-nanoparticles" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/106210.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">306</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13909</span> Solving Optimal Control of Semilinear Elliptic Variational Inequalities Obstacle Problems using Smoothing Functions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=El%20Hassene%20Osmani">El Hassene Osmani</a>, <a href="https://publications.waset.org/abstracts/search?q=Mounir%20Haddou"> Mounir Haddou</a>, <a href="https://publications.waset.org/abstracts/search?q=Naceurdine%20Bensalem"> Naceurdine Bensalem</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we investigate optimal control problems governed by semilinear elliptic variational inequalities involving constraints on the state, and more precisely, the obstacle problem. We present a relaxed formulation for the problem using smoothing functions. Since we adopt a numerical point of view, we first relax the feasible domain of the problem, then using both mathematical programming methods and penalization methods, we get optimality conditions with smooth Lagrange multipliers. Some numerical experiments using IPOPT algorithm (Interior Point Optimizer) are presented to verify the efficiency of our approach. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=complementarity%20problem" title="complementarity problem">complementarity problem</a>, <a href="https://publications.waset.org/abstracts/search?q=IPOPT" title=" IPOPT"> IPOPT</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20multipliers" title=" Lagrange multipliers"> Lagrange multipliers</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematical%20programming" title=" mathematical programming"> mathematical programming</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20control" title=" optimal control"> optimal control</a>, <a href="https://publications.waset.org/abstracts/search?q=smoothing%20methods" title=" smoothing methods"> smoothing methods</a>, <a href="https://publications.waset.org/abstracts/search?q=variationally%20inequalities" title=" variationally inequalities"> variationally inequalities</a> </p> <a href="https://publications.waset.org/abstracts/132882/solving-optimal-control-of-semilinear-elliptic-variational-inequalities-obstacle-problems-using-smoothing-functions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/132882.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">172</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13908</span> A Modified Decoupled Semi-Analytical Approach Based On SBFEM for Solving 2D Elastodynamic Problems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Fakharian">M. Fakharian</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20I.%20Khodakarami"> M. I. Khodakarami</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a new trend for improvement in semi-analytical method based on scale boundaries in order to solve the 2D elastodynamic problems is provided. In this regard, only the boundaries of the problem domain discretization are by specific sub-parametric elements. Mapping functions are uses as a class of higher-order Lagrange polynomials, special shape functions, Gauss-Lobatto -Legendre numerical integration, and the integral form of the weighted residual method, the matrix is diagonal coefficients in the equations of elastodynamic issues. Differences between study conducted and prior research in this paper is in geometry production procedure of the interpolation function and integration of the different is selected. Validity and accuracy of the present method are fully demonstrated through two benchmark problems which are successfully modeled using a few numbers of DOFs. The numerical results agree very well with the analytical solutions and the results from other numerical methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=2D%20elastodynamic%20problems" title="2D elastodynamic problems">2D elastodynamic problems</a>, <a href="https://publications.waset.org/abstracts/search?q=lagrange%20polynomials" title=" lagrange polynomials"> lagrange polynomials</a>, <a href="https://publications.waset.org/abstracts/search?q=G-L-Lquadrature" title=" G-L-Lquadrature"> G-L-Lquadrature</a>, <a href="https://publications.waset.org/abstracts/search?q=decoupled%20SBFEM" title=" decoupled SBFEM"> decoupled SBFEM</a> </p> <a href="https://publications.waset.org/abstracts/20245/a-modified-decoupled-semi-analytical-approach-based-on-sbfem-for-solving-2d-elastodynamic-problems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20245.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">444</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13907</span> Using Lagrange Equations to Study the Relative Motion of a Mechanism</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=R.%20A.%20Petre">R. A. Petre</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20E.%20Nichifor"> S. E. Nichifor</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Craifaleanu"> A. Craifaleanu</a>, <a href="https://publications.waset.org/abstracts/search?q=I.%20Stroe"> I. Stroe</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The relative motion of a robotic arm formed by homogeneous bars of different lengths and masses, hinged to each other is investigated. The first bar of the mechanism is articulated on a platform, considered initially fixed on the surface of the Earth, while for the second case the platform is considered to be in rotation with respect to the Earth. For both analyzed cases the motion equations are determined using the Lagrangian formalism, applied in its traditional form, valid with respect to an inertial reference system, conventionally considered as fixed. However, in the second case, a generalized form of the formalism valid with respect to a non-inertial reference frame will also be applied. The numerical calculations were performed using a MATLAB program. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20equations" title="Lagrange equations">Lagrange equations</a>, <a href="https://publications.waset.org/abstracts/search?q=relative%20motion" title=" relative motion"> relative motion</a>, <a href="https://publications.waset.org/abstracts/search?q=inertial%20reference%20frame" title=" inertial reference frame"> inertial reference frame</a>, <a href="https://publications.waset.org/abstracts/search?q=non-inertial%20reference%20frame" title=" non-inertial reference frame"> non-inertial reference frame</a> </p> <a href="https://publications.waset.org/abstracts/128576/using-lagrange-equations-to-study-the-relative-motion-of-a-mechanism" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/128576.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">122</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13906</span> Monte Carlo Estimation of Heteroscedasticity and Periodicity Effects in a Panel Data Regression Model </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nureni%20O.%20Adeboye">Nureni O. Adeboye</a>, <a href="https://publications.waset.org/abstracts/search?q=Dawud%20A.%20Agunbiade"> Dawud A. Agunbiade</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research attempts to investigate the effects of heteroscedasticity and periodicity in a Panel Data Regression Model (PDRM) by extending previous works on balanced panel data estimation within the context of fitting PDRM for Banks audit fee. The estimation of such model was achieved through the derivation of Joint Lagrange Multiplier (LM) test for homoscedasticity and zero-serial correlation, a conditional LM test for zero serial correlation given heteroscedasticity of varying degrees as well as conditional LM test for homoscedasticity given first order positive serial correlation via a two-way error component model. Monte Carlo simulations were carried out for 81 different variations, of which its design assumed a uniform distribution under a linear heteroscedasticity function. Each of the variation was iterated 1000 times and the assessment of the three estimators considered are based on Variance, Absolute bias (ABIAS), Mean square error (MSE) and the Root Mean Square (RMSE) of parameters estimates. Eighteen different models at different specified conditions were fitted, and the best-fitted model is that of within estimator when heteroscedasticity is severe at either zero or positive serial correlation value. LM test results showed that the tests have good size and power as all the three tests are significant at 5% for the specified linear form of heteroscedasticity function which established the facts that Banks operations are severely heteroscedastic in nature with little or no periodicity effects. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=audit%20fee%20lagrange%20multiplier%20test" title="audit fee lagrange multiplier test">audit fee lagrange multiplier test</a>, <a href="https://publications.waset.org/abstracts/search?q=heteroscedasticity" title=" heteroscedasticity"> heteroscedasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=lagrange%20multiplier%20test" title=" lagrange multiplier test"> lagrange multiplier test</a>, <a href="https://publications.waset.org/abstracts/search?q=Monte-Carlo%20scheme" title=" Monte-Carlo scheme"> Monte-Carlo scheme</a>, <a href="https://publications.waset.org/abstracts/search?q=periodicity" title=" periodicity"> periodicity</a> </p> <a href="https://publications.waset.org/abstracts/107813/monte-carlo-estimation-of-heteroscedasticity-and-periodicity-effects-in-a-panel-data-regression-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/107813.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">141</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13905</span> Evaluation of Quasi-Newton Strategy for Algorithmic Acceleration</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=T.%20Martini">T. Martini</a>, <a href="https://publications.waset.org/abstracts/search?q=J.%20M.%20Mart%C3%ADnez"> J. M. Mart铆nez</a> </p> <p class="card-text"><strong>Abstract:</strong></p> An algorithmic acceleration strategy based on quasi-Newton (or secant) methods is displayed for address the practical problem of accelerating the convergence of the Newton-Lagrange method in the case of convergence to critical multipliers. Since the Newton-Lagrange iteration converges locally at a linear rate, it is natural to conjecture that quasi-Newton methods based on the so called secant equation and some minimal variation principle, could converge superlinearly, thus restoring the convergence properties of Newton's method. This strategy can also be applied to accelerate the convergence of algorithms applied to fixed-points problems. Computational experience is reported illustrating the efficiency of this strategy to solve fixed-point problems with linear convergence rate. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=algorithmic%20acceleration" title="algorithmic acceleration">algorithmic acceleration</a>, <a href="https://publications.waset.org/abstracts/search?q=fixed-point%20problems" title=" fixed-point problems"> fixed-point problems</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20programming" title=" nonlinear programming"> nonlinear programming</a>, <a href="https://publications.waset.org/abstracts/search?q=quasi-newton%20method" title=" quasi-newton method"> quasi-newton method</a> </p> <a href="https://publications.waset.org/abstracts/35723/evaluation-of-quasi-newton-strategy-for-algorithmic-acceleration" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35723.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">488</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13904</span> The Implementation of Secton Method for Finding the Root of Interpolation Function</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nur%20Rokhman">Nur Rokhman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A mathematical function gives relationship between the variables composing the function. Interpolation can be viewed as a process of finding mathematical function which goes through some specified points. There are many interpolation methods, namely: Lagrange method, Newton method, Spline method etc. For some specific condition, such as, big amount of interpolation points, the interpolation function can not be written explicitly. This such function consist of computational steps. The solution of equations involving the interpolation function is a problem of solution of non linear equation. Newton method will not work on the interpolation function, for the derivative of the interpolation function cannot be written explicitly. This paper shows the use of Secton method to determine the numerical solution of the function involving the interpolation function. The experiment shows the fact that Secton method works better than Newton method in finding the root of Lagrange interpolation function. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Secton%20method" title="Secton method">Secton method</a>, <a href="https://publications.waset.org/abstracts/search?q=interpolation" title=" interpolation"> interpolation</a>, <a href="https://publications.waset.org/abstracts/search?q=non%20linear%20function" title=" non linear function"> non linear function</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20solution" title=" numerical solution"> numerical solution</a> </p> <a href="https://publications.waset.org/abstracts/1837/the-implementation-of-secton-method-for-finding-the-root-of-interpolation-function" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/1837.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">379</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13903</span> An Eigen-Approach for Estimating the Direction-of Arrival of Unknown Number of Signals</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dia%20I.%20Abu-Al-Nadi">Dia I. Abu-Al-Nadi</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20J.%20Mismar"> M. J. Mismar</a>, <a href="https://publications.waset.org/abstracts/search?q=T.%20H.%20Ismail"> T. H. Ismail</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A technique for estimating the direction-of-arrival (DOA) of unknown number of source signals is presented using the eigen-approach. The eigenvector corresponding to the minimum eigenvalue of the autocorrelation matrix yields the minimum output power of the array. Also, the array polynomial with this eigenvector possesses roots on the unit circle. Therefore, the pseudo-spectrum is found by perturbing the phases of the roots one by one and calculating the corresponding array output power. The results indicate that the DOAs and the number of source signals are estimated accurately in the presence of a wide range of input noise levels. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=array%20signal%20processing" title="array signal processing">array signal processing</a>, <a href="https://publications.waset.org/abstracts/search?q=direction-of-arrival" title=" direction-of-arrival"> direction-of-arrival</a>, <a href="https://publications.waset.org/abstracts/search?q=antenna%20arrays" title=" antenna arrays"> antenna arrays</a>, <a href="https://publications.waset.org/abstracts/search?q=Eigenvalues" title=" Eigenvalues"> Eigenvalues</a>, <a href="https://publications.waset.org/abstracts/search?q=Eigenvectors" title=" Eigenvectors"> Eigenvectors</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20multiplier" title=" Lagrange multiplier"> Lagrange multiplier</a> </p> <a href="https://publications.waset.org/abstracts/50693/an-eigen-approach-for-estimating-the-direction-of-arrival-of-unknown-number-of-signals" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/50693.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">334</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13902</span> Numerical Investigation of the Performance of a Vorsyl Separator Using a Euler-Lagrange Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Guozhen%20Li">Guozhen Li</a>, <a href="https://publications.waset.org/abstracts/search?q=Philip%20Hall"> Philip Hall</a>, <a href="https://publications.waset.org/abstracts/search?q=Nick%20Miles"> Nick Miles</a>, <a href="https://publications.waset.org/abstracts/search?q=Tao%20Wu"> Tao Wu</a>, <a href="https://publications.waset.org/abstracts/search?q=Jie%20Dong"> Jie Dong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a Euler-Lagrange model of the water-particles multiphase flows in a Vorsyl separator where particles with different densities are separated. A series of particles with their densities ranging from 760 kg/m<sup>3</sup> to 1380 kg/m<sup>3</sup> were fed into the Vorsyl separator with water by means of tangential inlet. The simulation showed that the feed materials acquired centrifugal force which allows most portion of the particles with a density less than water to move to the center of the separator, enter the vortex finder and leave the separator through the bottom outlet. While the particles heavier than water move to the wall, reach the throat area and leave the separator through the side outlet. The particles were thus separated and particles collected at the bottom outlet are pure and clean. The influence of particle density on separation efficiency was investigated which demonstrated a positive correlation of the separation efficiency with increasing density difference between medium liquid and the particle. In addition, the influence of the split ratio on the performance was studied which showed that the separation efficiency of the Vorsyl separator can be improved by the increase of split ratio. The simulation also suggested that the Vorsyl separator may not function when the feeding velocity is smaller than a certain critical feeding in velocity. In addition, an increasing feeding velocity gives rise to increased pressure drop, however does not necessarily increase the separation efficiency. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Vorsyl%20separator" title="Vorsyl separator">Vorsyl separator</a>, <a href="https://publications.waset.org/abstracts/search?q=separation%20efficiency" title=" separation efficiency"> separation efficiency</a>, <a href="https://publications.waset.org/abstracts/search?q=CFD" title=" CFD"> CFD</a>, <a href="https://publications.waset.org/abstracts/search?q=split%20ratio" title=" split ratio"> split ratio</a> </p> <a href="https://publications.waset.org/abstracts/49223/numerical-investigation-of-the-performance-of-a-vorsyl-separator-using-a-euler-lagrange-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/49223.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">350</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13901</span> Three Dimensional Flexible Dynamics of Continuous Cislunar Payloads Transfer System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Y.%20Yang">Y. Yang</a>, <a href="https://publications.waset.org/abstracts/search?q=Dian%20Ming%20Xing"> Dian Ming Xing</a>, <a href="https://publications.waset.org/abstracts/search?q=Qiu%20Hua%20Du"> Qiu Hua Du</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Based on the Motorized Momentum Exchange Tether (MMET), with the principle of momentum exchange, the three dimension flexible dynamics of continuous cislunar payloads transferring system (CCPTS) is built by Lagrange method and its numerical solution is solved by Mathematica software. In the derivation precession of potential energy, this paper uses the Tylor expansion method to simplify the Lagrange equation. Furthermore, the tension coming from the centripetal load is considered in the elastic potential energy. The comparison simulation results between the 3D rigid model and 3D flexible model of CCPTS shows that the tether flexibility has important influence on CCPTS鈥檚 orbital parameters (such as radius of CCPTS鈥檚 COM and the true anomaly) and the tether鈥檚 rotational movement, the relative deviation of radius and the true anomaly between the two dynamic models is about 0.00678% and 0.00259%, the relative deviation of the angle of tether-span and local gravity gradient is about 3.55%. Additionally, the external torque has an apparent influence on the tether鈥檚 axial vibration. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cislunar%20transfer" title="cislunar transfer">cislunar transfer</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamics" title=" dynamics"> dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=momentum%20exchange" title=" momentum exchange"> momentum exchange</a>, <a href="https://publications.waset.org/abstracts/search?q=tether" title=" tether"> tether</a> </p> <a href="https://publications.waset.org/abstracts/65353/three-dimensional-flexible-dynamics-of-continuous-cislunar-payloads-transfer-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/65353.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">269</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13900</span> Impact of Facility Disruptions on Demand Allocation Strategies in Reliable Facility Location Models</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdulrahman%20R.%20Alenezi">Abdulrahman R. Alenezi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research investigates the effects of facility disruptions on-demand allocation within the context of the Reliable Facility Location Problem (RFLP). We explore two distinct scenarios: one where primary and backup facilities can fail simultaneously and another where such simultaneous failures are not possible. The RFLP model is tailored to reflect these scenarios, incorporating different approaches to transportation cost calculations. Utilizing a Lagrange relaxation method, the model achieves high efficiency, yielding an average optimality gap of 0.1% within 12.2 seconds of CPU time. Findings indicate that primary facilities are typically sited closer to demand points than backup facilities. In cases where simultaneous failures are prohibited, demand points are predominantly assigned to the nearest available facility. Conversely, in scenarios permitting simultaneous failures, demand allocation may prioritize factors beyond mere proximity, such as failure rates. This study highlights the critical influence of facility reliability on strategic location decisions, providing insights for enhancing resilience in supply chain networks. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reliable%20supply%20chain%20network" title="reliable supply chain network">reliable supply chain network</a>, <a href="https://publications.waset.org/abstracts/search?q=facility%20location%20problem" title=" facility location problem"> facility location problem</a>, <a href="https://publications.waset.org/abstracts/search?q=reliable%20facility%20location%20model" title=" reliable facility location model"> reliable facility location model</a>, <a href="https://publications.waset.org/abstracts/search?q=LaGrange%20relaxation" title=" LaGrange relaxation"> LaGrange relaxation</a> </p> <a href="https://publications.waset.org/abstracts/192189/impact-of-facility-disruptions-on-demand-allocation-strategies-in-reliable-facility-location-models" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/192189.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">26</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13899</span> Collaborative Energy Optimization for Multi-Microgrid Distribution System Based on Two-Stage Game Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hanmei%20Peng">Hanmei Peng</a>, <a href="https://publications.waset.org/abstracts/search?q=Yiqun%20Wang"> Yiqun Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Mao%20Tan"> Mao Tan</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhuocen%20Dai"> Zhuocen Dai</a>, <a href="https://publications.waset.org/abstracts/search?q=Yongxin%20Su"> Yongxin Su</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Efficient energy management in multi-microgrid distribution systems holds significant importance for enhancing the economic benefits of regional power grids. To better balance conflicts among various stakeholders, a two-stage game-based collaborative optimization approach is proposed in this paper, effectively addressing the realistic scenario involving both competition and collaboration among stakeholders. The first stage, aimed at maximizing individual benefits, involves constructing a non-cooperative tariff game model for the distribution network and surplus microgrid. In the second stage, considering power flow and physical line capacity constraints we establish a cooperative P2P game model for the multi-microgrid distribution system, and the optimization involves employing the Lagrange method of multipliers to handle complex constraints. Simulation results demonstrate that the proposed approach can effectively improve the system economics while harmonizing individual and collective rationality. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cooperative%20game" title="cooperative game">cooperative game</a>, <a href="https://publications.waset.org/abstracts/search?q=collaborative%20optimization" title=" collaborative optimization"> collaborative optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-microgrid%20distribution%20system" title=" multi-microgrid distribution system"> multi-microgrid distribution system</a>, <a href="https://publications.waset.org/abstracts/search?q=non-cooperative%20game" title=" non-cooperative game"> non-cooperative game</a> </p> <a href="https://publications.waset.org/abstracts/182103/collaborative-energy-optimization-for-multi-microgrid-distribution-system-based-on-two-stage-game-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/182103.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">70</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13898</span> Design and Development of an Optimal Fault Tolerant 3 Degree of Freedom Robotic Manipulator</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ramish">Ramish</a>, <a href="https://publications.waset.org/abstracts/search?q=Farhan%20%20Khalique%20Awan"> Farhan Khalique Awan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Kinematic redundancy within the manipulators presents extended dexterity and manipulability to the manipulators. Redundant serial robotic manipulators are very popular in industries due to its competencies to keep away from singularities during normal operation and fault tolerance because of failure of one or more joints. Such fault tolerant manipulators are extraordinarily beneficial in applications where human interference for repair and overhaul is both impossible or tough; like in case of robotic arms for space programs, nuclear applications and so on. The design of this sort of fault tolerant serial 3 DoF manipulator is presented in this paper. This work was the extension of the author鈥檚 previous work of designing the simple 3R serial manipulator. This work is the realization of the previous design with optimizing the link lengths for incorporating the feature of fault tolerance. Various measures have been followed by the researchers to quantify the fault tolerance of such redundant manipulators. The fault tolerance in this work has been described in terms of the worst-case measure of relative manipulability that is, in fact, a local measure of optimization that works properly for certain configuration of the manipulators. An optimum fault tolerant Jacobian matrix has been determined first based on prescribed null space properties after which the link parameters have been described to meet the given Jacobian matrix. A solid model of the manipulator was then developed to realize the mathematically rigorous design. Further work was executed on determining the dynamic properties of the fault tolerant design and simulations of the movement for various trajectories have been carried out to evaluate the joint torques. The mathematical model of the system was derived via the Euler-Lagrange approach after which the same has been tested using the RoboAnalyzer漏 software. The results have been quite in agreement. From the CAD model and dynamic simulation data, the manipulator was fabricated in the workshop and Advanced Machining lab of NED University of Engineering and Technology. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fault%20tolerant" title="fault tolerant">fault tolerant</a>, <a href="https://publications.waset.org/abstracts/search?q=Graham%20matrix" title=" Graham matrix"> Graham matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=Jacobian" title=" Jacobian"> Jacobian</a>, <a href="https://publications.waset.org/abstracts/search?q=kinematics" title=" kinematics"> kinematics</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrange-Euler" title=" Lagrange-Euler"> Lagrange-Euler</a> </p> <a href="https://publications.waset.org/abstracts/79710/design-and-development-of-an-optimal-fault-tolerant-3-degree-of-freedom-robotic-manipulator" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/79710.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">222</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13897</span> Response of a Bridge Crane during an Earthquake</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=F.%20Fekak">F. Fekak</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Gravouil"> A. Gravouil</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Brun"> M. Brun</a>, <a href="https://publications.waset.org/abstracts/search?q=B.%20Depale"> B. Depale</a> </p> <p class="card-text"><strong>Abstract:</strong></p> During an earthquake, a bridge crane may be subjected to multiple impacts between crane wheels and rail. In order to model such phenomena, a time-history dynamic analysis with a multi-scale approach is performed. The high frequency aspect of the impacts between wheels and rails is taken into account by a Lagrange explicit event-capturing algorithm based on a velocity-impulse formulation to resolve contacts and impacts. An implicit temporal scheme is used for the rest of the structure. The numerical coupling between the implicit and the explicit schemes is achieved with a heterogeneous asynchronous time-integrator. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bridge%20crane" title="bridge crane">bridge crane</a>, <a href="https://publications.waset.org/abstracts/search?q=earthquake" title=" earthquake"> earthquake</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20analysis" title=" dynamic analysis"> dynamic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=explicit" title=" explicit"> explicit</a>, <a href="https://publications.waset.org/abstracts/search?q=implicit" title=" implicit"> implicit</a>, <a href="https://publications.waset.org/abstracts/search?q=impact" title=" impact"> impact</a> </p> <a href="https://publications.waset.org/abstracts/41920/response-of-a-bridge-crane-during-an-earthquake" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/41920.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">304</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13896</span> The Finite Element Method for Nonlinear Fredholm Integral Equation of the Second Kind</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Melusi%20Khumalo">Melusi Khumalo</a>, <a href="https://publications.waset.org/abstracts/search?q=Anastacia%20Dlamini"> Anastacia Dlamini</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we consider a numerical solution for nonlinear Fredholm integral equations of the second kind. We work with uniform mesh and use the Lagrange polynomials together with the Galerkin finite element method, where the weight function is chosen in such a way that it takes the form of the approximate solution but with arbitrary coefficients. We implement the finite element method to the nonlinear Fredholm integral equations of the second kind. We consider the error analysis of the method. Furthermore, we look at a specific example to illustrate the implementation of the finite element method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20method" title="finite element method">finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=Galerkin%20approach" title=" Galerkin approach"> Galerkin approach</a>, <a href="https://publications.waset.org/abstracts/search?q=Fredholm%20integral%20equations" title=" Fredholm integral equations"> Fredholm integral equations</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20integral%20equations" title=" nonlinear integral equations"> nonlinear integral equations</a> </p> <a href="https://publications.waset.org/abstracts/140832/the-finite-element-method-for-nonlinear-fredholm-integral-equation-of-the-second-kind" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/140832.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">375</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13895</span> Time/Temperature-Dependent Finite Element Model of Laminated Glass Beams</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alena%20Zemanov%C3%A1">Alena Zemanov谩</a>, <a href="https://publications.waset.org/abstracts/search?q=Jan%20Zeman"> Jan Zeman</a>, <a href="https://publications.waset.org/abstracts/search?q=Michal%20%C5%A0ejnoha"> Michal 艩ejnoha</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The polymer foil used for manufacturing of laminated glass members behaves in a viscoelastic manner with temperature dependence. This contribution aims at incorporating the time/temperature-dependent behavior of interlayer to our earlier elastic finite element model for laminated glass beams. The model is based on a refined beam theory: each layer behaves according to the finite-strain shear deformable formulation by Reissner and the adjacent layers are connected via the Lagrange multipliers ensuring the inter-layer compatibility of a laminated unit. The time/temperature-dependent behavior of the interlayer is accounted for by the generalized Maxwell model and by the time-temperature superposition principle due to the Williams, Landel, and Ferry. The resulting system is solved by the Newton method with consistent linearization and the viscoelastic response is determined incrementally by the exponential algorithm. By comparing the model predictions against available experimental data, we demonstrate that the proposed formulation is reliable and accurately reproduces the behavior of the laminated glass units. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20method" title="finite element method">finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=finite-strain%20Reissner%20model" title=" finite-strain Reissner model"> finite-strain Reissner model</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20multipliers" title=" Lagrange multipliers"> Lagrange multipliers</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20Maxwell%20model" title=" generalized Maxwell model"> generalized Maxwell model</a>, <a href="https://publications.waset.org/abstracts/search?q=laminated%20glass" title=" laminated glass"> laminated glass</a>, <a href="https://publications.waset.org/abstracts/search?q=Newton%20method" title=" Newton method"> Newton method</a>, <a href="https://publications.waset.org/abstracts/search?q=Williams-Landel-Ferry%20equation" title=" Williams-Landel-Ferry equation"> Williams-Landel-Ferry equation</a> </p> <a href="https://publications.waset.org/abstracts/22985/timetemperature-dependent-finite-element-model-of-laminated-glass-beams" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22985.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">431</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13894</span> Effect of Sand Particle Distribution in Oil and Gas Pipeline Erosion</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Christopher%20Deekia%20Nwimae">Christopher Deekia Nwimae</a>, <a href="https://publications.waset.org/abstracts/search?q=Nigel%20Simms"> Nigel Simms</a>, <a href="https://publications.waset.org/abstracts/search?q=Liyun%20Lao"> Liyun Lao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Erosion in pipe bends caused by particles is a major obstacle in the oil and gas fields and might cause the breakdown of production equipment. This work studied the effects imposed by flow velocity and impact of solid particles diameter in an elbow; erosion rate was verified with experimental data using the computational 铿倁id dynamics (CFD) approach. Two-way coupled Euler-Lagrange and discrete phase model was employed to calculate the air/solid particle 铿俹w in an elbow. One erosion model and three-particle rebound models were used to predict the erosion rate on the 90掳 elbows. The generic erosion model was used in the CFD-based erosion model, and after comparing it with experimental data, results showed agreement with the CFD-based predictions as observed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=erosion" title="erosion">erosion</a>, <a href="https://publications.waset.org/abstracts/search?q=prediction" title=" prediction"> prediction</a>, <a href="https://publications.waset.org/abstracts/search?q=elbow" title=" elbow"> elbow</a>, <a href="https://publications.waset.org/abstracts/search?q=computational%20fluid%20dynamics" title=" computational fluid dynamics"> computational fluid dynamics</a> </p> <a href="https://publications.waset.org/abstracts/147246/effect-of-sand-particle-distribution-in-oil-and-gas-pipeline-erosion" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/147246.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">157</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13893</span> OmniDrive Model of a Holonomic Mobile Robot</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hussein%20Altartouri">Hussein Altartouri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper the kinematic and kinetic models of an omnidirectional holonomic mobile robot is presented. The kinematic and kinetic models form the OmniDrive model. Therefore, a mathematical model for the robot equipped with three- omnidirectional wheels is derived. This model which takes into consideration the kinematics and kinetics of the robot, is developed to state space representation. Relative analysis of the velocities and displacements is used for the kinematics of the robot. Lagrange鈥檚 approach is considered in this study for deriving the equation of motion. The drive train and the mechanical assembly only of the Festo Robotino庐 is considered in this model. Mainly the model is developed for motion control. Furthermore, the model can be used for simulation purposes in different virtual environments not only Robotino庐 View. Further use of the model is in the mechatronics research fields with the aim of teaching and learning the advanced control theories. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=mobile%20robot" title="mobile robot">mobile robot</a>, <a href="https://publications.waset.org/abstracts/search?q=omni-direction%20wheel" title=" omni-direction wheel"> omni-direction wheel</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematical%20model" title=" mathematical model"> mathematical model</a>, <a href="https://publications.waset.org/abstracts/search?q=holonomic%20mobile%20robot" title=" holonomic mobile robot"> holonomic mobile robot</a> </p> <a href="https://publications.waset.org/abstracts/11200/omnidrive-model-of-a-holonomic-mobile-robot" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/11200.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">608</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13892</span> Investigating the Form of the Generalised Equations of Motion of the N-Bob Pendulum and Computing Their Solution Using MATLAB</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Divij%20Gupta">Divij Gupta</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Pendular systems have a range of both mathematical and engineering applications, ranging from modelling the behaviour of a continuous mass-density rope to utilisation as Tuned Mass Dampers (TMD). Thus, it is of interest to study the differential equations governing the motion of such systems. Here we attempt to generalise these equations of motion for the plane compound pendulum with a finite number of N point masses. A Lagrangian approach is taken, and we attempt to find the generalised form for the Euler-Lagrange equations of motion for the i-th bob of the N -bob pendulum. The co-ordinates are parameterized as angular quantities to reduce the number of degrees of freedom from 2N to N to simplify the form of the equations. We analyse the form of these equations up to N = 4 to determine the general form of the equation. We also develop a MATLAB program to compute a solution to the system for a given input value of N and a given set of initial conditions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=classical%20mechanics" title="classical mechanics">classical mechanics</a>, <a href="https://publications.waset.org/abstracts/search?q=differential%20equation" title=" differential equation"> differential equation</a>, <a href="https://publications.waset.org/abstracts/search?q=lagrangian%20analysis" title=" lagrangian analysis"> lagrangian analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=pendulum" title=" pendulum"> pendulum</a> </p> <a href="https://publications.waset.org/abstracts/113019/investigating-the-form-of-the-generalised-equations-of-motion-of-the-n-bob-pendulum-and-computing-their-solution-using-matlab" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/113019.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">208</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13891</span> Numerical Iteration Method to Find New Formulas for Nonlinear Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kholod%20Mohammad%20Abualnaja">Kholod Mohammad Abualnaja</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A new algorithm is presented to find some new iterative methods for solving nonlinear equations F(x)=0 by using the variational iteration method. The efficiency of the considered method is illustrated by example. The results show that the proposed iteration technique, without linearization or small perturbation, is very effective and convenient. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=variational%20iteration%20method" title="variational iteration method">variational iteration method</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20equations" title=" nonlinear equations"> nonlinear equations</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20multiplier" title=" Lagrange multiplier"> Lagrange multiplier</a>, <a href="https://publications.waset.org/abstracts/search?q=algorithms" title=" algorithms "> algorithms </a> </p> <a href="https://publications.waset.org/abstracts/12184/numerical-iteration-method-to-find-new-formulas-for-nonlinear-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/12184.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">544</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13890</span> Model-Independent Price Bounds for the Swiss Re Mortality Bond 2003</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Raj%20Kumari%20Bahl">Raj Kumari Bahl</a>, <a href="https://publications.waset.org/abstracts/search?q=Sotirios%20Sabanis"> Sotirios Sabanis</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we are concerned with the valuation of the first Catastrophic Mortality Bond that was launched in the market namely the Swiss Re Mortality Bond 2003. This bond encapsulates the behavior of a well-defined mortality index to generate payoffs for the bondholders. Pricing this bond is a challenging task. We adapt the payoff of the terminal principal of the bond in terms of the payoff of an Asian put option and present an approach to derive model-independent bounds exploiting comonotonic theory. We invoke Jensen鈥檚 inequality for the computation of lower bounds and employ Lagrange optimization technique to achieve the upper bound. The success of these bounds is based on the availability of compatible European mortality options in the market. We carry out Monte Carlo simulations to estimate the bond price and illustrate the strength of these bounds across a variety of models. The fact that our bounds are model-independent is a crucial breakthrough in the pricing of catastrophic mortality bonds. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=mortality%20bond" title="mortality bond">mortality bond</a>, <a href="https://publications.waset.org/abstracts/search?q=Swiss%20Re%20Bond" title=" Swiss Re Bond"> Swiss Re Bond</a>, <a href="https://publications.waset.org/abstracts/search?q=mortality%20index" title=" mortality index"> mortality index</a>, <a href="https://publications.waset.org/abstracts/search?q=comonotonicity" title=" comonotonicity"> comonotonicity</a> </p> <a href="https://publications.waset.org/abstracts/54923/model-independent-price-bounds-for-the-swiss-re-mortality-bond-2003" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/54923.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">250</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13889</span> Design of a Cooperative Neural Network, Particle Swarm Optimization (PSO) and Fuzzy Based Tracking Control for a Tilt Rotor Unmanned Aerial Vehicle </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mostafa%20Mjahed">Mostafa Mjahed</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Tilt Rotor UAVs (Unmanned Aerial Vehicles) are naturally unstable and difficult to maneuver. The purpose of this paper is to design controllers for the stabilization and trajectory tracking of this type of UAV. To this end, artificial intelligence methods have been exploited. First, the dynamics of this UAV was modeled using the Lagrange-Euler method. The conventional method based on Proportional, Integral and Derivative (PID) control was applied by decoupling the different flight modes. To improve stability and trajectory tracking of the Tilt Rotor, the fuzzy approach and the technique of multilayer neural networks (NN) has been used. Thus, Fuzzy Proportional Integral and Derivative (FPID) and Neural Network-based Proportional Integral and Derivative controllers (NNPID) have been developed. The meta-heuristic approach based on Particle Swarm Optimization (PSO) method allowed adjusting the setting parameters of NNPID controller, giving us an improved NNPID-PSO controller. Simulation results under the Matlab environment show the efficiency of the approaches adopted. Besides, the Tilt Rotor UAV has become stable and follows different types of trajectories with acceptable precision. The Fuzzy, NN and NN-PSO-based approaches demonstrated their robustness because the presence of the disturbances did not alter the stability or the trajectory tracking of the Tilt Rotor UAV. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=neural%20network" title="neural network">neural network</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20logic" title=" fuzzy logic"> fuzzy logic</a>, <a href="https://publications.waset.org/abstracts/search?q=PSO" title=" PSO"> PSO</a>, <a href="https://publications.waset.org/abstracts/search?q=PID" title=" PID"> PID</a>, <a href="https://publications.waset.org/abstracts/search?q=trajectory%20tracking" title=" trajectory tracking"> trajectory tracking</a>, <a href="https://publications.waset.org/abstracts/search?q=tilt-rotor%20UAV" title=" tilt-rotor UAV"> tilt-rotor UAV</a> </p> <a href="https://publications.waset.org/abstracts/115686/design-of-a-cooperative-neural-network-particle-swarm-optimization-pso-and-fuzzy-based-tracking-control-for-a-tilt-rotor-unmanned-aerial-vehicle" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/115686.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">119</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13888</span> New Variational Approach for Contrast Enhancement of Color Image</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Wanhyun%20Cho">Wanhyun Cho</a>, <a href="https://publications.waset.org/abstracts/search?q=Seongchae%20Seo"> Seongchae Seo</a>, <a href="https://publications.waset.org/abstracts/search?q=Soonja%20Kang"> Soonja Kang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, we propose a variational technique for image contrast enhancement which utilizes global and local information around each pixel. The energy functional is defined by a weighted linear combination of three terms which are called on a local, a global contrast term and dispersion term. The first one is a local contrast term that can lead to improve the contrast of an input image by increasing the grey-level differences between each pixel and its neighboring to utilize contextual information around each pixel. The second one is global contrast term, which can lead to enhance a contrast of image by minimizing the difference between its empirical distribution function and a cumulative distribution function to make the probability distribution of pixel values becoming a symmetric distribution about median. The third one is a dispersion term that controls the departure between new pixel value and pixel value of original image while preserving original image characteristics as well as possible. Second, we derive the Euler-Lagrange equation for true image that can achieve the minimum of a proposed functional by using the fundamental lemma for the calculus of variations. And, we considered the procedure that this equation can be solved by using a gradient decent method, which is one of the dynamic approximation techniques. Finally, by conducting various experiments, we can demonstrate that the proposed method can enhance the contrast of colour images better than existing techniques. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=color%20image" title="color image">color image</a>, <a href="https://publications.waset.org/abstracts/search?q=contrast%20enhancement%20technique" title=" contrast enhancement technique"> contrast enhancement technique</a>, <a href="https://publications.waset.org/abstracts/search?q=variational%20approach" title=" variational approach"> variational approach</a>, <a href="https://publications.waset.org/abstracts/search?q=Euler-Lagrang%20equation" title=" Euler-Lagrang equation"> Euler-Lagrang equation</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20approximation%20method" title=" dynamic approximation method"> dynamic approximation method</a>, <a href="https://publications.waset.org/abstracts/search?q=EME%20measure" title=" EME measure"> EME measure</a> </p> <a href="https://publications.waset.org/abstracts/10574/new-variational-approach-for-contrast-enhancement-of-color-image" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/10574.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">449</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13887</span> Transformations between Bivariate Polynomial Bases</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dimitris%20Varsamis">Dimitris Varsamis</a>, <a href="https://publications.waset.org/abstracts/search?q=Nicholas%20Karampetakis"> Nicholas Karampetakis</a> </p> <p class="card-text"><strong>Abstract:</strong></p> It is well known that any interpolating polynomial P(x,y) on the vector space Pn,m of two-variable polynomials with degree less than n in terms of x and less than m in terms of y has various representations that depends on the basis of Pn,m that we select i.e. monomial, Newton and Lagrange basis etc. The aim of this paper is twofold: a) to present transformations between the coordinates of the polynomial P(x,y) in the aforementioned basis and b) to present transformations between these bases. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bivariate%20interpolation%20polynomial" title="bivariate interpolation polynomial">bivariate interpolation polynomial</a>, <a href="https://publications.waset.org/abstracts/search?q=polynomial%20basis" title=" polynomial basis"> polynomial basis</a>, <a href="https://publications.waset.org/abstracts/search?q=transformations" title=" transformations"> transformations</a>, <a href="https://publications.waset.org/abstracts/search?q=interpolating%20polynomial" title=" interpolating polynomial"> interpolating polynomial</a> </p> <a href="https://publications.waset.org/abstracts/14542/transformations-between-bivariate-polynomial-bases" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/14542.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">405</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13886</span> An ALM Matrix Completion Algorithm for Recovering Weather Monitoring Data</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yuqing%20Chen">Yuqing Chen</a>, <a href="https://publications.waset.org/abstracts/search?q=Ying%20Xu"> Ying Xu</a>, <a href="https://publications.waset.org/abstracts/search?q=Renfa%20Li"> Renfa Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The development of matrix completion theory provides new approaches for data gathering in Wireless Sensor Networks (WSN). The existing matrix completion algorithms for WSN mainly consider how to reduce the sampling number without considering the real-time performance when recovering the data matrix. In order to guarantee the recovery accuracy and reduce the recovery time consumed simultaneously, we propose a new ALM algorithm to recover the weather monitoring data. A lot of experiments have been carried out to investigate the performance of the proposed ALM algorithm by using different parameter settings, different sampling rates and sampling models. In addition, we compare the proposed ALM algorithm with some existing algorithms in the literature. Experimental results show that the ALM algorithm can obtain better overall recovery accuracy with less computing time, which demonstrate that the ALM algorithm is an effective and efficient approach for recovering the real world weather monitoring data in WSN. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=wireless%20sensor%20network" title="wireless sensor network">wireless sensor network</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix%20completion" title=" matrix completion"> matrix completion</a>, <a href="https://publications.waset.org/abstracts/search?q=singular%20value%20thresholding" title=" singular value thresholding"> singular value thresholding</a>, <a href="https://publications.waset.org/abstracts/search?q=augmented%20Lagrange%20multiplier" title=" augmented Lagrange multiplier"> augmented Lagrange multiplier</a> </p> <a href="https://publications.waset.org/abstracts/45997/an-alm-matrix-completion-algorithm-for-recovering-weather-monitoring-data" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/45997.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">384</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13885</span> Further Results on Modified Variational Iteration Method for the Analytical Solution of Nonlinear Advection Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20W.%20Gbolagade">A. W. Gbolagade</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20O.%20Olayiwola"> M. O. Olayiwola</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20O.%20Kareem"> K. O. Kareem</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, further to our result on recent paper on the solution of nonlinear advection equations, we present further results on the nonlinear nonhomogeneous advection equations using a modified variational iteration method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=lagrange%20multiplier" title="lagrange multiplier">lagrange multiplier</a>, <a href="https://publications.waset.org/abstracts/search?q=non-homogeneous%20equations" title=" non-homogeneous equations"> non-homogeneous equations</a>, <a href="https://publications.waset.org/abstracts/search?q=advection%20equations" title=" advection equations"> advection equations</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematics" title=" mathematics"> mathematics</a> </p> <a href="https://publications.waset.org/abstracts/3945/further-results-on-modified-variational-iteration-method-for-the-analytical-solution-of-nonlinear-advection-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/3945.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">301</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=lagrange%20approach&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=lagrange%20approach&page=3">3</a></li> <li class="page-item"><a class="page-link" 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