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difference formula</title> <meta name="description" content="Search results for: finite difference formula"> <meta name="keywords" content="finite difference formula"> <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 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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="finite difference formula"> <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> 7176</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: finite difference formula</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7176</span> Fractional Euler Method and Finite Difference Formula Using Conformable Fractional Derivative</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ramzi%20B.%20Albadarneh">Ramzi B. Albadarneh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we use the new definition of fractional derivative called conformable fractional derivative to derive some finite difference formulas and its error terms which are used to solve fractional differential equations and fractional partial differential equations, also to derive fractional Euler method and its error terms which can be applied to solve fractional differential equations. To provide the contribution of our work some applications on finite difference formulas and Euler Method are given. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=conformable%20fractional%20derivative" title="conformable fractional derivative">conformable fractional derivative</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference%20formula" title=" finite difference formula"> finite difference formula</a>, <a href="https://publications.waset.org/abstracts/search?q=fractional%20derivative" title=" fractional derivative"> fractional derivative</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference%20formula" title=" finite difference formula"> finite difference formula</a> </p> <a href="https://publications.waset.org/abstracts/37072/fractional-euler-method-and-finite-difference-formula-using-conformable-fractional-derivative" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37072.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">439</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">7175</span> New Fourth Order Explicit Group Method in the Solution of the Helmholtz Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Norhashidah%20Hj%20Mohd%20Ali">Norhashidah Hj Mohd Ali</a>, <a href="https://publications.waset.org/abstracts/search?q=Teng%20Wai%20Ping"> Teng Wai Ping</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the formulation of a new group explicit method with a fourth order accuracy is described in solving the two-dimensional Helmholtz equation. The formulation is based on the nine-point fourth-order compact finite difference approximation formula. The complexity analysis of the developed scheme is also presented. Several numerical experiments were conducted to test the feasibility of the developed scheme. Comparisons with other existing schemes will be reported and discussed. Preliminary results indicate that this method is a viable alternative high accuracy solver to the Helmholtz equation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=explicit%20group%20method" title="explicit group method">explicit group method</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference" title=" finite difference"> finite difference</a>, <a href="https://publications.waset.org/abstracts/search?q=Helmholtz%20equation" title=" Helmholtz equation"> Helmholtz equation</a>, <a href="https://publications.waset.org/abstracts/search?q=five-point%20formula" title=" five-point formula"> five-point formula</a>, <a href="https://publications.waset.org/abstracts/search?q=nine-point%20formula" title=" nine-point formula"> nine-point formula</a> </p> <a href="https://publications.waset.org/abstracts/17278/new-fourth-order-explicit-group-method-in-the-solution-of-the-helmholtz-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/17278.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">500</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">7174</span> An Efficient Backward Semi-Lagrangian Scheme for Nonlinear Advection-Diffusion Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Soyoon%20Bak">Soyoon Bak</a>, <a href="https://publications.waset.org/abstracts/search?q=Sunyoung%20Bu"> Sunyoung Bu</a>, <a href="https://publications.waset.org/abstracts/search?q=Philsu%20Kim"> Philsu Kim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a backward semi-Lagrangian scheme combined with the second-order backward difference formula is designed to calculate the numerical solutions of nonlinear advection-diffusion equations. The primary aims of this paper are to remove any iteration process and to get an efficient algorithm with the convergence order of accuracy 2 in time. In order to achieve these objects, we use the second-order central finite difference and the B-spline approximations of degree 2 and 3 in order to approximate the diffusion term and the spatial discretization, respectively. For the temporal discretization, the second order backward difference formula is applied. To calculate the numerical solution of the starting point of the characteristic curves, we use the error correction methodology developed by the authors recently. The proposed algorithm turns out to be completely iteration-free, which resolves the main weakness of the conventional backward semi-Lagrangian method. Also, the adaptability of the proposed method is indicated by numerical simulations for Burgers’ equations. Throughout these numerical simulations, it is shown that the numerical results are in good agreement with the analytic solution and the present scheme offer better accuracy in comparison with other existing numerical schemes. Semi-Lagrangian method, iteration-free method, nonlinear advection-diffusion equation, second-order backward difference formula <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Semi-Lagrangian%20method" title="Semi-Lagrangian method">Semi-Lagrangian method</a>, <a href="https://publications.waset.org/abstracts/search?q=iteration%20free%20method" title=" iteration free method"> iteration free method</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20advection-diffusion%20equation" title=" nonlinear advection-diffusion equation"> nonlinear advection-diffusion equation</a>, <a href="https://publications.waset.org/abstracts/search?q=second-order%20backward%20difference%20formula" title=" second-order backward difference formula"> second-order backward difference formula</a> </p> <a href="https://publications.waset.org/abstracts/12922/an-efficient-backward-semi-lagrangian-scheme-for-nonlinear-advection-diffusion-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/12922.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">321</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">7173</span> A Proof of the Fact that a Finite Morphism is Proper</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ying%20Yi%20Wu">Ying Yi Wu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present a proof of the fact that a finite morphism is proper. We show that a finite morphism is universally closed and of finite type, which are the conditions for properness. Our proof is based on the theory of schemes and involves the use of the projection formula and the base change theorem. We first show that a finite morphism is of finite type and then proceed to show that it is universally closed. We use the fact that a finite morphism is also an affine morphism, which allows us to use the theory of coherent sheaves and their modules. We then show that the map induced by a finite morphism is flat and that the module it induces is of finite type. We use these facts to show that a finite morphism is universally closed. Our proof is constructive, and we provide details for each step of the argument. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=finite" title="finite">finite</a>, <a href="https://publications.waset.org/abstracts/search?q=morphism" title=" morphism"> morphism</a>, <a href="https://publications.waset.org/abstracts/search?q=schemes" title=" schemes"> schemes</a>, <a href="https://publications.waset.org/abstracts/search?q=projection." title=" projection."> projection.</a> </p> <a href="https://publications.waset.org/abstracts/163708/a-proof-of-the-fact-that-a-finite-morphism-is-proper" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/163708.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">109</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">7172</span> New High Order Group Iterative Schemes in the Solution of Poisson Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sam%20Teek%20Ling">Sam Teek Ling</a>, <a href="https://publications.waset.org/abstracts/search?q=Norhashidah%20Hj.%20Mohd.%20Ali"> Norhashidah Hj. Mohd. Ali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We investigate the formulation and implementation of new explicit group iterative methods in solving the two-dimensional Poisson equation with Dirichlet boundary conditions. The methods are derived from a fourth order compact nine point finite difference discretization. The methods are compared with the existing second order standard five point formula to show the dramatic improvement in computed accuracy. Numerical experiments are presented to illustrate the effectiveness of the proposed methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=explicit%20group%20iterative%20method" title="explicit group iterative method">explicit group iterative method</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference" title=" finite difference"> finite difference</a>, <a href="https://publications.waset.org/abstracts/search?q=fourth%20order%20compact" title=" fourth order compact"> fourth order compact</a>, <a href="https://publications.waset.org/abstracts/search?q=Poisson%20equation" title=" Poisson equation"> Poisson equation</a> </p> <a href="https://publications.waset.org/abstracts/1329/new-high-order-group-iterative-schemes-in-the-solution-of-poisson-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/1329.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">432</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">7171</span> Optimization of Temperature Difference Formula at Thermoacoustic Cryocooler Stack with Genetic Algorithm</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=H.%20Afsari">H. Afsari</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20Shokouhmand"> H. Shokouhmand</a> </p> <p class="card-text"><strong>Abstract:</strong></p> When stack is placed in a thermoacoustic resonator in a cryocooler, one extremity of the stack heats up while the other cools down due to the thermoacoustic effect. In the present, with expression a formula by linear theory, will see this temperature difference depends on what factors. The computed temperature difference is compared to the one predicted by the formula. These discrepancies can not be attributed to non-linear effects, rather they exist because of thermal effects. Two correction factors are introduced for close up results among linear theory and computed and use these correction factors to modified linear theory. In fact, this formula, is optimized by GA (Genetic Algorithm). Finally, results are shown at different Mach numbers and stack location in resonator. <p class="card-text"><strong>Keywords:</strong> <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=thermoacoustic%20cryocooler" title=" thermoacoustic cryocooler"> thermoacoustic cryocooler</a>, <a href="https://publications.waset.org/abstracts/search?q=stack" title=" stack"> stack</a>, <a href="https://publications.waset.org/abstracts/search?q=resonator" title=" resonator"> resonator</a>, <a href="https://publications.waset.org/abstracts/search?q=mach%20number" title=" mach number"> mach number</a>, <a href="https://publications.waset.org/abstracts/search?q=genetic%20algorithm" title=" genetic algorithm"> genetic algorithm</a> </p> <a href="https://publications.waset.org/abstracts/39263/optimization-of-temperature-difference-formula-at-thermoacoustic-cryocooler-stack-with-genetic-algorithm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/39263.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">378</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">7170</span> Localized Meshfree Methods for Solving 3D-Helmholtz Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Reza%20Mollapourasl">Reza Mollapourasl</a>, <a href="https://publications.waset.org/abstracts/search?q=Majid%20Haghi"> Majid Haghi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, we develop local meshfree methods known as radial basis function-generated finite difference (RBF-FD) method and Hermite finite difference (RBF-HFD) method to design stencil weights and spatial discretization for Helmholtz equation. The convergence and stability of schemes are investigated numerically in three dimensions with irregular shaped domain. These localized meshless methods incorporate the advantages of the RBF method, finite difference and Hermite finite difference methods to handle the ill-conditioning issue that often destroys the convergence rate of global RBF methods. Moreover, numerical illustrations show that the proposed localized RBF type methods are efficient and applicable for problems with complex geometries. The convergence and accuracy of both schemes are compared by solving a test problem. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=radial%20basis%20functions" title="radial basis functions">radial basis functions</a>, <a href="https://publications.waset.org/abstracts/search?q=Hermite%20finite%20difference" title=" Hermite finite difference"> Hermite finite difference</a>, <a href="https://publications.waset.org/abstracts/search?q=Helmholtz%20equation" title=" Helmholtz equation"> Helmholtz equation</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a> </p> <a href="https://publications.waset.org/abstracts/168736/localized-meshfree-methods-for-solving-3d-helmholtz-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/168736.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">99</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">7169</span> A Comparative Study of High Order Rotated Group Iterative Schemes on Helmholtz Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Norhashidah%20Hj.%20Mohd%20Ali">Norhashidah Hj. Mohd Ali</a>, <a href="https://publications.waset.org/abstracts/search?q=Teng%20Wai%20Ping"> Teng Wai Ping</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present a high order group explicit method in solving the two dimensional Helmholtz equation<em>.</em> The presented method is derived from a nine-point fourth order finite difference approximation formula obtained from a 45-degree rotation of the standard grid which makes it possible for the construction of iterative procedure with reduced complexity. The developed method will be compared with the existing group iterative schemes available in literature in terms of computational time, iteration counts, and computational complexity. The comparative performances of the methods will be discussed and reported. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=explicit%20group%20method" title="explicit group method">explicit group method</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference" title=" finite difference"> finite difference</a>, <a href="https://publications.waset.org/abstracts/search?q=helmholtz%20equation" title=" helmholtz equation"> helmholtz equation</a>, <a href="https://publications.waset.org/abstracts/search?q=rotated%20grid" title=" rotated grid"> rotated grid</a>, <a href="https://publications.waset.org/abstracts/search?q=standard%20grid" title=" standard grid"> standard grid</a> </p> <a href="https://publications.waset.org/abstracts/51535/a-comparative-study-of-high-order-rotated-group-iterative-schemes-on-helmholtz-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/51535.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">456</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">7168</span> A Non-Standard Finite Difference Scheme for the Solution of Laplace Equation with Dirichlet Boundary Conditions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Khaled%20Moaddy">Khaled Moaddy</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present a fast and accurate numerical scheme for the solution of a Laplace equation with Dirichlet boundary conditions. The non-standard finite difference scheme (NSFD) is applied to construct the numerical solutions of a Laplace equation with two different Dirichlet boundary conditions. The solutions obtained using NSFD are compared with the solutions obtained using the standard finite difference scheme (SFD). The NSFD scheme is demonstrated to be reliable and efficient. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=standard%20finite%20difference%20schemes" title="standard finite difference schemes">standard finite difference schemes</a>, <a href="https://publications.waset.org/abstracts/search?q=non-standard%20schemes" title=" non-standard schemes"> non-standard schemes</a>, <a href="https://publications.waset.org/abstracts/search?q=Laplace%20equation" title=" Laplace equation"> Laplace equation</a>, <a href="https://publications.waset.org/abstracts/search?q=Dirichlet%20boundary%20conditions" title=" Dirichlet boundary conditions"> Dirichlet boundary conditions</a> </p> <a href="https://publications.waset.org/abstracts/119718/a-non-standard-finite-difference-scheme-for-the-solution-of-laplace-equation-with-dirichlet-boundary-conditions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/119718.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">132</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">7167</span> Analysis of the Suspension Rocker of Formula SAE Prototype by Finite Element Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jessyca%20A.%20Bessa">Jessyca A. Bessa</a>, <a href="https://publications.waset.org/abstracts/search?q=Darlan%20A.%20Barroso"> Darlan A. Barroso</a>, <a href="https://publications.waset.org/abstracts/search?q=Jonas%20P.%20Reges"> Jonas P. Reges</a>, <a href="https://publications.waset.org/abstracts/search?q=Auzuir%20R.%20Alexandria"> Auzuir R. Alexandria</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work aims to study the rocker. This is a device of the suspension of Formula SAE vehicle that receives efforts from the motion scrolling of the vehicle and transmits them to the chassis frame minimized by a momentum ratio and smoothed by the set spring - damper. A review of parameters used in vehicle dynamics and a geometric analysis of the forces and stresses caused by such was carried out. The main function of the rocker is to reduce the force transmitted to the frame due to movement of rolling and subsequent application of the suspension. This functions is taken as satisfactory, since the force applied to the wheel and which would be transmitted to the chassis is reduced from 3833.9N to 3496.48N. From these values can be further more detailed simulations using the finite element method aimed at mass reduction or even rocker manufacturing feasibility aluminum. Then, the analysis by the finite element method was applied. This analysis uses the theory of discretization of systems and examines the strength of the component based on the distortion energy, determining the maximum straining experienced by the component and the region of higher demand. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=rocker" title="rocker">rocker</a>, <a href="https://publications.waset.org/abstracts/search?q=suspension" title=" suspension"> suspension</a>, <a href="https://publications.waset.org/abstracts/search?q=the%20finite%20element%20method" title=" the finite element method"> the finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=mechatronics%20engineering" title=" mechatronics engineering"> mechatronics engineering</a> </p> <a href="https://publications.waset.org/abstracts/21242/analysis-of-the-suspension-rocker-of-formula-sae-prototype-by-finite-element-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/21242.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">541</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">7166</span> Fast and Accurate Finite-Difference Method Solving Multicomponent Smoluchowski Coagulation Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alexander%20P.%20Smirnov">Alexander P. Smirnov</a>, <a href="https://publications.waset.org/abstracts/search?q=Sergey%20A.%20Matveev"> Sergey A. Matveev</a>, <a href="https://publications.waset.org/abstracts/search?q=Dmitry%20A.%20Zheltkov"> Dmitry A. Zheltkov</a>, <a href="https://publications.waset.org/abstracts/search?q=Eugene%20E.%20Tyrtyshnikov"> Eugene E. Tyrtyshnikov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We propose a new computational technique for multidimensional (multicomponent) Smoluchowski coagulation equation. Using low-rank approximations in Tensor Train format of both the solution and the coagulation kernel, we accelerate the classical finite-difference Runge-Kutta scheme keeping its level of accuracy. The complexity of the taken finite-difference scheme is reduced from O(N^2d) to O(d^2 N log N ), where N is the number of grid nodes and d is a dimensionality of the problem. The efficiency and the accuracy of the new method are demonstrated on concrete problem with known analytical solution. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=tensor%20train%20decomposition" title="tensor train decomposition">tensor train decomposition</a>, <a href="https://publications.waset.org/abstracts/search?q=multicomponent%20Smoluchowski%20equation" title=" multicomponent Smoluchowski equation"> multicomponent Smoluchowski equation</a>, <a href="https://publications.waset.org/abstracts/search?q=runge-kutta%20scheme" title=" runge-kutta scheme"> runge-kutta scheme</a>, <a href="https://publications.waset.org/abstracts/search?q=convolution" title=" convolution"> convolution</a> </p> <a href="https://publications.waset.org/abstracts/40417/fast-and-accurate-finite-difference-method-solving-multicomponent-smoluchowski-coagulation-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/40417.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">432</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">7165</span> Electromagnetic Wave Propagation Equations in 2D by Finite Difference Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=N.%20Fusun%20Oyman%20Serteller">N. Fusun Oyman Serteller</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the techniques to solve time dependent electromagnetic wave propagation equations based on the Finite Difference Method (FDM) are proposed by comparing the results with Finite Element Method (FEM) in 2D while discussing some special simulation examples.  Here, 2D dynamical wave equations for lossy media, even with a constant source, are discussed for establishing symbolic manipulation of wave propagation problems. The main objective of this contribution is to introduce a comparative study of two suitable numerical methods and to show that both methods can be applied effectively and efficiently to all types of wave propagation problems, both linear and nonlinear cases, by using symbolic computation. However, the results show that the FDM is more appropriate for solving the nonlinear cases in the symbolic solution. Furthermore, some specific complex domain examples of the comparison of electromagnetic waves equations are considered. Calculations are performed through Mathematica software by making some useful contribution to the programme and leveraging symbolic evaluations of FEM and FDM. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=finite%20difference%20method" title="finite difference method">finite difference method</a>, <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=linear-nonlinear%20PDEs" title=" linear-nonlinear PDEs"> linear-nonlinear PDEs</a>, <a href="https://publications.waset.org/abstracts/search?q=symbolic%20computation" title=" symbolic computation"> symbolic computation</a>, <a href="https://publications.waset.org/abstracts/search?q=wave%20propagation%20equations" title=" wave propagation equations"> wave propagation equations</a> </p> <a href="https://publications.waset.org/abstracts/107982/electromagnetic-wave-propagation-equations-in-2d-by-finite-difference-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/107982.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">147</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">7164</span> Formulation of Sun Screen Cream and Sun Protecting Factor Activity from Standardized–Partition Compound of Mahkota Dewa Leaf (Phaleria macrocarpa (Scheff.) Boerl.)</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdul%20Karim%20Zulkarnain">Abdul Karim Zulkarnain</a>, <a href="https://publications.waset.org/abstracts/search?q=Marchaban"> Marchaban</a>, <a href="https://publications.waset.org/abstracts/search?q=Subagus%20Wahyono"> Subagus Wahyono</a>, <a href="https://publications.waset.org/abstracts/search?q=Ratna%20Asmah%20Susidarti"> Ratna Asmah Susidarti</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Mahkota Dewa contains phalerin which has activity as sun screen. In this study, 13 formulations of cream oil in water (o/w) were prepared and tested for their physical characteristics. The physical characteristics were then used for determining the optimum formula. This study aimed to explore the physical stability of optimized formulation of cream, its sun protecting factor (SPF) values using in vitro and in vivo tests. The optimum formula of o/w cream were prepared based on Simplex Lattice Design (LSD) method using software Design Expert®. The formulation of o/w cream were varied based on the proportion of cetyl alcohol, mineral oil and tween 80. The difference of physical characteristic of optimum and predicted formula was tested using t-test with significant level of 95%. The optimum formula of o/w cream was the formula which consists of cetyl alcohol 9.71%, mineral oil, 29%, and tween 80 3.29. Based on t-test, there was no significant difference of physical characteristics of optimum and predicted formulation. Viscosity, spread power, adhesive power, and separation volume ratio of o/w at week 0-4 were relatively stable. The o/w creams were relatively stable at extreme temperature. The o/w creams from mahkota dewa, phalerin, and benzophenone have SPF values of 21.32, 33.12, and 42.49, respectively. The formulas did not irritate the skin based on in vivo test. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cream" title="cream">cream</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=In%20vitro" title=" In vitro"> In vitro</a>, <a href="https://publications.waset.org/abstracts/search?q=In%20vivo" title=" In vivo"> In vivo</a> </p> <a href="https://publications.waset.org/abstracts/66716/formulation-of-sun-screen-cream-and-sun-protecting-factor-activity-from-standardized-partition-compound-of-mahkota-dewa-leaf-phaleria-macrocarpa-scheff-boerl" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/66716.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">229</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">7163</span> A New Investigation Technique for Improvement of the Cullet for Pottery Glaze</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Benchalak%20Muangmeesri">Benchalak Muangmeesri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research is experiment glaze from use cullet that is broken decayed from the used such as, glass bottle, windshield , etc. For seek raw material compensation that is raw material of the glaze in ceramic. The objective of the research for study the ratio of the glaze that is appropriate for glaze ceramic products and evaluate the experiment glaze on the vitreous china. The experiment has limits in using ceramic process such as, using calculation formula with triaxial, the empirical formula’s of Seger, and formula calculation is the percentage of the compound. for choose formula has will the possibility for glaze on vitreous china. The experiments in 108 triaxial can choose best formula and calculate is be left just 6 a formula for the calculation. The calculation is the percentage of the raw materials. Find that, three formulas in six formula there is percentage amount of the raw material that is cullet has the amount the little more 10 percentages then repeated experiment just three formulas. Overall, this research have three formulas for used its and we get all processes achieved and well done. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cullet" title="cullet">cullet</a>, <a href="https://publications.waset.org/abstracts/search?q=glaze" title=" glaze"> glaze</a>, <a href="https://publications.waset.org/abstracts/search?q=pottery" title=" pottery"> pottery</a>, <a href="https://publications.waset.org/abstracts/search?q=ceramic" title=" ceramic"> ceramic</a> </p> <a href="https://publications.waset.org/abstracts/2268/a-new-investigation-technique-for-improvement-of-the-cullet-for-pottery-glaze" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/2268.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">271</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">7162</span> A 2D Numerical Model of Viscous Flow-Cylinder Interaction</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bang-Fuh%20Chen">Bang-Fuh Chen</a>, <a href="https://publications.waset.org/abstracts/search?q=Chih-Chun%20Chu"> Chih-Chun Chu </a> </p> <p class="card-text"><strong>Abstract:</strong></p> The flow induced cylinder vibration or earthquake-induced cylinder motion are moving in an arbitrary direction with time. The phenomenon of flow across cylinder is highly nonlinear and a linear-superposition of flow pattern across separated oscillating direction of cylinder motion is not valid to obtain the flow pattern across a cylinder oscillating in multiple directions. A novel finite difference scheme is developed to simulate the viscous flow across an arbitrary moving circular cylinder and we call this a complete 2D (two-dimensional) flow-cylinder interaction. That is, the cylinder is simultaneously oscillating in x- and y- directions. The time-dependent domain and meshes associated with the moving cylinder are mapped to a fixed computational domain and meshes, which are time independent. The numerical results are validated by several bench mark studies. Several examples are introduced including flow across steam-wise, transverse oscillating cylinder and flow across rotating cylinder and flow across arbitrary moving cylinder. The Morison’s formula can not describe the complex interaction phenomenon between cross flow and oscillating circular cylinder. And the completed 2D computational fluid dynamic analysis should be made to obtain the correct hydrodynamic force acting on the cylinder. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=2D%20cylinder" title="2D cylinder">2D cylinder</a>, <a href="https://publications.waset.org/abstracts/search?q=finite-difference%20method" title=" finite-difference method"> finite-difference method</a>, <a href="https://publications.waset.org/abstracts/search?q=flow-cylinder%20interaction" title=" flow-cylinder interaction"> flow-cylinder interaction</a>, <a href="https://publications.waset.org/abstracts/search?q=flow%20induced%20vibration" title=" flow induced vibration"> flow induced vibration</a> </p> <a href="https://publications.waset.org/abstracts/30200/a-2d-numerical-model-of-viscous-flow-cylinder-interaction" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/30200.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">511</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">7161</span> Analytical Study Of Holographic Polymer Dispersed Liquid Crystals Using Finite Difference Time Domain Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=N.%20R.%20Mohamad">N. R. Mohamad</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20Ono"> H. Ono</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20Haroon"> H. Haroon</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Salleh"> A. Salleh</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20M.%20Z.%20Hashim"> N. M. Z. Hashim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this research, we have studied and analyzed the modulation of light and liquid crystal in HPDLCs using Finite Domain Time Difference (FDTD) method. HPDLCs are modeled as a mixture of polymer and liquid crystals (LCs) that categorized as an anisotropic medium. FDTD method is directly solves Maxwell’s equation with less approximation, so this method can analyze more flexible and general approach for the arbitrary anisotropic media. As the results from FDTD simulation, the highest diffraction efficiency occurred at ±19 degrees (Bragg angle) using p polarization incident beam to Bragg grating, Q > 10 when the pitch is 1µm. Therefore, the liquid crystal is assumed to be aligned parallel to the grating constant vector during these parameters. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=birefringence" title="birefringence">birefringence</a>, <a href="https://publications.waset.org/abstracts/search?q=diffraction%20efficiency" title=" diffraction efficiency"> diffraction efficiency</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20domain%20time%20difference" title=" finite domain time difference"> finite domain time difference</a>, <a href="https://publications.waset.org/abstracts/search?q=nematic%20liquid%20crystals" title=" nematic liquid crystals"> nematic liquid crystals</a> </p> <a href="https://publications.waset.org/abstracts/36230/analytical-study-of-holographic-polymer-dispersed-liquid-crystals-using-finite-difference-time-domain-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/36230.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">460</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">7160</span> An Implicit High Order Difference Scheme for the Solution of 1D Pennes Bio-Heat Transfer Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Swarn%20Singh">Swarn Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=Suruchi%20Singh"> Suruchi Singh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present a fourth order two level implicit finite difference scheme for 1D Pennes bio-heat equation. Unconditional stability and convergence of the proposed scheme is discussed. Numerical results are obtained to demonstrate the efficiency of the scheme. In this paper we present a fourth order two level implicit finite difference scheme for 1D Pennes bio-heat equation. Unconditional stability and convergence of the proposed scheme is discussed. Numerical results are obtained to demonstrate the efficiency of the scheme. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=convergence" title="convergence">convergence</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference%20scheme" title=" finite difference scheme"> finite difference scheme</a>, <a href="https://publications.waset.org/abstracts/search?q=Pennes%20bio-heat%20equation" title=" Pennes bio-heat equation"> Pennes bio-heat equation</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability "> stability </a> </p> <a href="https://publications.waset.org/abstracts/22704/an-implicit-high-order-difference-scheme-for-the-solution-of-1d-pennes-bio-heat-transfer-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22704.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">472</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">7159</span> Orbit Determination from Two Position Vectors Using Finite Difference Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Akhilesh%20Kumar">Akhilesh Kumar</a>, <a href="https://publications.waset.org/abstracts/search?q=Sathyanarayan%20G."> Sathyanarayan G.</a>, <a href="https://publications.waset.org/abstracts/search?q=Nirmala%20S."> Nirmala S.</a> </p> <p class="card-text"><strong>Abstract:</strong></p> An unusual approach is developed to determine the orbit of satellites/space objects. The determination of orbits is considered a boundary value problem and has been solved using the finite difference method (FDM). Only positions of the satellites/space objects are known at two end times taken as boundary conditions. The technique of finite difference has been used to calculate the orbit between end times. In this approach, the governing equation is defined as the satellite's equation of motion with a perturbed acceleration. Using the finite difference method, the governing equations and boundary conditions are discretized. The resulting system of algebraic equations is solved using Tri Diagonal Matrix Algorithm (TDMA) until convergence is achieved. This methodology test and evaluation has been done using all GPS satellite orbits from National Geospatial-Intelligence Agency (NGA) precise product for Doy 125, 2023. Towards this, two hours of twelve sets have been taken into consideration. Only positions at the end times of each twelve sets are considered boundary conditions. This algorithm is applied to all GPS satellites. Results achieved using FDM compared with the results of NGA precise orbits. The maximum RSS error for the position is 0.48 [m] and the velocity is 0.43 [mm/sec]. Also, the present algorithm is applied on the IRNSS satellites for Doy 220, 2023. The maximum RSS error for the position is 0.49 [m], and for velocity is 0.28 [mm/sec]. Next, a simulation has been done for a Highly Elliptical orbit for DOY 63, 2023, for the duration of 6 hours. The RSS of difference in position is 0.92 [m] and velocity is 1.58 [mm/sec] for the orbital speed of more than 5km/sec. Whereas the RSS of difference in position is 0.13 [m] and velocity is 0.12 [mm/sec] for the orbital speed less than 5km/sec. Results show that the newly created method is reliable and accurate. Further applications of the developed methodology include missile and spacecraft targeting, orbit design (mission planning), space rendezvous and interception, space debris correlation, and navigation solutions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=finite%20difference%20method" title="finite difference method">finite difference method</a>, <a href="https://publications.waset.org/abstracts/search?q=grid%20generation" title=" grid generation"> grid generation</a>, <a href="https://publications.waset.org/abstracts/search?q=NavIC%20system" title=" NavIC system"> NavIC system</a>, <a href="https://publications.waset.org/abstracts/search?q=orbit%20perturbation" title=" orbit perturbation"> orbit perturbation</a> </p> <a href="https://publications.waset.org/abstracts/168715/orbit-determination-from-two-position-vectors-using-finite-difference-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/168715.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">84</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">7158</span> Statistical Characteristics of Code Formula for Design of Concrete Structures </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Inyeol%20Paik">Inyeol Paik</a>, <a href="https://publications.waset.org/abstracts/search?q=Ah-Ryang%20Kim"> Ah-Ryang Kim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this research, a statistical analysis is carried out to examine the statistical properties of the formula given in the design code for concrete structures. The design formulas of the Korea highway bridge design code - the limit state design method (KHBDC) which is the current national bridge design code and the design code for concrete structures by Korea Concrete Institute (KCI) are applied for the analysis. The safety levels provided by the strength formulas of the design codes are defined based on the probabilistic and statistical theory.KHBDC is a reliability-based design code. The load and resistance factors of this code were calibrated to attain the target reliability index. It is essential to define the statistical properties for the design formulas in this calibration process. In general, the statistical characteristics of a member strength are due to the following three factors. The first is due to the difference between the material strength of the actual construction and that used in the design calculation. The second is the difference between the actual dimensions of the constructed sections and those used in design calculation. The third is the difference between the strength of the actual member and the formula simplified for the design calculation. In this paper, the statistical study is focused on the third difference. The formulas for calculating the shear strength of concrete members are presented in different ways in KHBDC and KCI. In this study, the statistical properties of design formulas were obtained through comparison with the database which comprises the experimental results from the reference publications. The test specimen was either reinforced with the shear stirrup or not. For an applied database, the bias factor was about 1.12 and the coefficient of variation was about 0.18. By applying the statistical properties of the design formula to the reliability analysis, it is shown that the resistance factors of the current design codes satisfy the target reliability indexes of both codes. Also, the minimum resistance factors of the KHBDC which is written in the material resistance factor format and KCE which is in the member resistance format are obtained and the results are presented. A further research is underway to calibrate the resistance factors of the high strength and high-performance concrete design guide. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=concrete%20design%20code" title="concrete design code">concrete design code</a>, <a href="https://publications.waset.org/abstracts/search?q=reliability%20analysis" title=" reliability analysis"> reliability analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=resistance%20factor" title=" resistance factor"> resistance factor</a>, <a href="https://publications.waset.org/abstracts/search?q=shear%20strength" title=" shear strength"> shear strength</a>, <a href="https://publications.waset.org/abstracts/search?q=statistical%20property" title=" statistical property"> statistical property</a> </p> <a href="https://publications.waset.org/abstracts/95315/statistical-characteristics-of-code-formula-for-design-of-concrete-structures" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/95315.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">319</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">7157</span> Modeling of Transformer Winding for Transients: Frequency-Dependent Proximity and Skin Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yazid%20%20Alkraimeen">Yazid Alkraimeen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Precise prediction of dielectric stresses and high voltages of power transformers require the accurate calculation of frequency-dependent parameters. A lack of accuracy can result in severe damages to transformer windings. Transient conditions is stuided by digital computers, which require the implementation of accurate models. This paper analyzes the computation of frequency-dependent skin and proximity losses included in the transformer winding model, using analytical equations and Finite Element Method (FEM). A modified formula to calculate the proximity and the skin losses is presented. The results of the frequency-dependent parameter calculations are verified using the Finite Element Method. The time-domain transient voltages are obtained using Numerical Inverse Laplace Transform. The results show that the classical formula for proximity losses is overestimating the transient voltages when compared with the results obtained from the modified method on a simple transformer geometry. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fast%20front%20transients" title="fast front transients">fast front transients</a>, <a href="https://publications.waset.org/abstracts/search?q=proximity%20losses" title=" proximity losses"> proximity losses</a>, <a href="https://publications.waset.org/abstracts/search?q=transformer%20winding%20modeling" title=" transformer winding modeling"> transformer winding modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=skin%20losses" title=" skin losses"> skin losses</a> </p> <a href="https://publications.waset.org/abstracts/118676/modeling-of-transformer-winding-for-transients-frequency-dependent-proximity-and-skin-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/118676.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">139</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">7156</span> An Alternative Framework of Multi-Resolution Nested Weighted Essentially Non-Oscillatory Schemes for Solving Euler Equations with Adaptive Order</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Zhenming%20Wang">Zhenming Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Jun%20Zhu"> Jun Zhu</a>, <a href="https://publications.waset.org/abstracts/search?q=Yuchen%20Yang"> Yuchen Yang</a>, <a href="https://publications.waset.org/abstracts/search?q=Ning%20Zhao"> Ning Zhao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present paper, an alternative framework is proposed to construct a class of finite difference multi-resolution nested weighted essentially non-oscillatory (WENO) schemes with an increasingly higher order of accuracy for solving inviscid Euler equations. These WENO schemes firstly obtain a set of reconstruction polynomials by a hierarchy of nested central spatial stencils, and then recursively achieve a higher order approximation through the lower-order precision WENO schemes. The linear weights of such WENO schemes can be set as any positive numbers with a requirement that their sum equals one and they will not pollute the optimal order of accuracy in smooth regions and could simultaneously suppress spurious oscillations near discontinuities. Numerical results obtained indicate that these alternative finite-difference multi-resolution nested WENO schemes with different accuracies are very robust with low dissipation and use as few reconstruction stencils as possible while maintaining the same efficiency, achieving the high-resolution property without any equivalent multi-resolution representation. Besides, its finite volume form is easier to implement in unstructured grids. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=finite-difference" title="finite-difference">finite-difference</a>, <a href="https://publications.waset.org/abstracts/search?q=WENO%20schemes" title=" WENO schemes"> WENO schemes</a>, <a href="https://publications.waset.org/abstracts/search?q=high%20order" title=" high order"> high order</a>, <a href="https://publications.waset.org/abstracts/search?q=inviscid%20Euler%20equations" title=" inviscid Euler equations"> inviscid Euler equations</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-resolution" title=" multi-resolution "> multi-resolution </a> </p> <a href="https://publications.waset.org/abstracts/111223/an-alternative-framework-of-multi-resolution-nested-weighted-essentially-non-oscillatory-schemes-for-solving-euler-equations-with-adaptive-order" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/111223.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">145</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">7155</span> A Nonstandard Finite Difference Method for Weather Derivatives Pricing Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Clarinda%20Vitorino%20Nhangumbe">Clarinda Vitorino Nhangumbe</a>, <a href="https://publications.waset.org/abstracts/search?q=Fredericks%20Ebrahim"> Fredericks Ebrahim</a>, <a href="https://publications.waset.org/abstracts/search?q=Betuel%20Canhanga"> Betuel Canhanga</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The price of an option weather derivatives can be approximated as a solution of the two-dimensional convection-diffusion dominant partial differential equation derived from the Ornstein-Uhlenbeck process, where one variable represents the weather dynamics and the other variable represent the underlying weather index. With appropriate financial boundary conditions, the solution of the pricing equation is approximated using a nonstandard finite difference method. It is shown that the proposed numerical scheme preserves positivity as well as stability and consistency. In order to illustrate the accuracy of the method, the numerical results are compared with other methods. The model is tested for real weather data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nonstandard%20finite%20differences" title="nonstandard finite differences">nonstandard finite differences</a>, <a href="https://publications.waset.org/abstracts/search?q=Ornstein-Uhlenbeck%20process" title=" Ornstein-Uhlenbeck process"> Ornstein-Uhlenbeck process</a>, <a href="https://publications.waset.org/abstracts/search?q=partial%20differential%20equations%20approach" title=" partial differential equations approach"> partial differential equations approach</a>, <a href="https://publications.waset.org/abstracts/search?q=weather%20derivatives" title=" weather derivatives"> weather derivatives</a> </p> <a href="https://publications.waset.org/abstracts/169730/a-nonstandard-finite-difference-method-for-weather-derivatives-pricing-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/169730.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">110</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">7154</span> [Keynote Talk]: Analysis of One Dimensional Advection Diffusion Model Using Finite Difference Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Vijay%20Kumar%20Kukreja">Vijay Kumar Kukreja</a>, <a href="https://publications.waset.org/abstracts/search?q=Ravneet%20Kaur"> Ravneet Kaur</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, one dimensional advection diffusion model is analyzed using finite difference method based on Crank-Nicolson scheme. A practical problem of filter cake washing of chemical engineering is analyzed. The model is converted into dimensionless form. For the grid Ω × ω = [0, 1] × [0, T], the Crank-Nicolson spatial derivative scheme is used in space domain and forward difference scheme is used in time domain. The scheme is found to be unconditionally convergent, stable, first order accurate in time and second order accurate in space domain. For a test problem, numerical results are compared with the analytical ones for different values of parameter. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Crank-Nicolson%20scheme" title="Crank-Nicolson scheme">Crank-Nicolson scheme</a>, <a href="https://publications.waset.org/abstracts/search?q=Lax-Richtmyer%20theorem" title=" Lax-Richtmyer theorem"> Lax-Richtmyer theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=consistency" title=" consistency"> consistency</a>, <a href="https://publications.waset.org/abstracts/search?q=Peclet%20number" title=" Peclet number"> Peclet number</a>, <a href="https://publications.waset.org/abstracts/search?q=Greschgorin%20circle" title=" Greschgorin circle"> Greschgorin circle</a> </p> <a href="https://publications.waset.org/abstracts/77368/keynote-talk-analysis-of-one-dimensional-advection-diffusion-model-using-finite-difference-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/77368.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">223</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">7153</span> Pediatricians as a Key Channel of Influence for Infant Formula Purchases</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Matthew%20Heidman">Matthew Heidman</a>, <a href="https://publications.waset.org/abstracts/search?q=Susan%20Dallabrida"> Susan Dallabrida</a>, <a href="https://publications.waset.org/abstracts/search?q=Analice%20Costa"> Analice Costa</a> </p> <p class="card-text"><strong>Abstract:</strong></p> For infant caregivers, choosing an infant formula for their child can be a difficult task in an already stressful environment of caring for a newborn. There exist several channels that influence purchasing decision of infant formula such as, friends and family and their experiences, health care professionals, social media influencers, as well as standard media marketing. This study sought to identify the key channels by which caregivers obtain information regarding infant formula and help them make their purchasing decision. A digital survey was issued for 90 days in the US (n=121) and 30 days in Mexico (n=88) targeting respondents with children ≤4 years of age. Respondents were asked two key questions regarding the influences on their purchasing decisions: 1) “When choosing a formula brand, what do you do to help you make your decision?”, and 2) “When choosing a formula brand, what is most important to you?”. A list of potential answers was provided for each question and respondents were asked to select all that apply to them. Lastly, respondents were provided a 5-point Likert scale and asked to respond to the statement 3) “I am more likely to buy a particular formula brand if my pediatrician recommends it to me”. For question 1, in the US and Mexico, 76% and 95% of respondents respectively, selected “I ask my pediatrician” which represented the top selection. For question 2, 52% and 45% of respondents respectively, selected “On package “Pediatrician Recommended” claim…” which also represented the top selection. For statement 3, 82% and 89% of respondents respectively, stated that they either “somewhat agree” or “strongly agree” with the statement. For infant caregivers, the pediatrician is a very important channel of influence when it comes to purchasing decision of infant formula. Caregivers clearly see the pediatrician as the arbiter of their child’s nutrition and seek their recommendations for infant formula use. For infant formula manufacturers, it is important that they see the pediatrician as the gatekeeper to this market, and they put resources into medical marketing communication to this health care professional group to ensure success. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=infant%20formula" title="infant formula">infant formula</a>, <a href="https://publications.waset.org/abstracts/search?q=pediatrician" title=" pediatrician"> pediatrician</a>, <a href="https://publications.waset.org/abstracts/search?q=purchasing%20driver" title=" purchasing driver"> purchasing driver</a>, <a href="https://publications.waset.org/abstracts/search?q=caregiver" title=" caregiver"> caregiver</a> </p> <a href="https://publications.waset.org/abstracts/156295/pediatricians-as-a-key-channel-of-influence-for-infant-formula-purchases" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/156295.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">94</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">7152</span> Numerical Wave Solutions for Nonlinear Coupled Equations Using Sinc-Collocation Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kamel%20Al-Khaled">Kamel Al-Khaled</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, numerical solutions for the nonlinear coupled Korteweg-de Vries, (abbreviated as KdV) equations are calculated by Sinc-collocation method. This approach is based on a global collocation method using Sinc basis functions. First, discretizing time derivative of the KdV equations by a classic finite difference formula, while the space derivatives are approximated by a $\theta-$weighted scheme. Sinc functions are used to solve these two equations. Soliton solutions are constructed to show the nature of the solution. The numerical results are shown to demonstrate the efficiency of the newly proposed method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nonlinear%20coupled%20KdV%20equations" title="Nonlinear coupled KdV equations">Nonlinear coupled KdV equations</a>, <a href="https://publications.waset.org/abstracts/search?q=Soliton%20solutions" title=" Soliton solutions"> Soliton solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=Sinc-collocation%20method" title=" Sinc-collocation method"> Sinc-collocation method</a>, <a href="https://publications.waset.org/abstracts/search?q=Sinc%20functions" title=" Sinc functions"> Sinc functions</a> </p> <a href="https://publications.waset.org/abstracts/23564/numerical-wave-solutions-for-nonlinear-coupled-equations-using-sinc-collocation-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/23564.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">524</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">7151</span> Heavy Metals in Selected Infant Milk Formula</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Suad%20M.%20Abuzariba">Suad M. Abuzariba</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Gazette"> M. Gazette</a> </p> <p class="card-text"><strong>Abstract:</strong></p> To test for the presence of toxic heavy metals, specifically Arsenic, Lead, and Mercury in formula milk available in Misrata city north of Libya for infants aged 6-12 months through Atomic Absorption Spectrophotometer,30 samples of imported milk formula in Libyan markets subjected to test to accurate their pollution with heavy metals, We get concentration of Hg, Ar, Pb in milk formula samples was between 0.002-1.37, 1.62-0.04–2.16, 0.15–0.65 respectively, when compared the results with Libyan &WHO standards ,they were within standards of toxic heavy metals. The presence or absence of toxic heavy metals (Lead, Arsenic, and Mercury) in selected infant formula milk and their levels within or beyond standards set by the WHO. The three infant formulas tested, all were negative for Arsenic and Lead, while two out of the three infant formulas tested positive for Mercury with levels of 0.6333ppm and 0.8333ppm. The levels of Mercury obtained, expressed in parts per million (ppm), from the two infant formulas tested were above the Provisional Tolerable Weekly Intake of total Mercury, which is 0.005ppm, as set by the FAO, WHO, and JECFA. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=heavy%20metals" title="heavy metals">heavy metals</a>, <a href="https://publications.waset.org/abstracts/search?q=milk%20formula" title=" milk formula"> milk formula</a>, <a href="https://publications.waset.org/abstracts/search?q=Libya" title=" Libya"> Libya</a>, <a href="https://publications.waset.org/abstracts/search?q=toxic" title=" toxic"> toxic</a> </p> <a href="https://publications.waset.org/abstracts/18908/heavy-metals-in-selected-infant-milk-formula" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18908.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">510</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">7150</span> Evaluating the Functional Properties of Flours Varying Percentage Blend of Malted Acha, Aya and Ede flours as Potentials for Weaning Food Formulation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=O.%20G.%20Onuoha">O. G. Onuoha</a>, <a href="https://publications.waset.org/abstracts/search?q=E.%20Chibuzo"> E. Chibuzo</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20M.%20Badau"> H. M. Badau</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Traditional weaning foods are dense or thick paste, which are then diluted with large volume of water to produce thin drinkable consistency for infants. This work was aimed at evaluating the functional properties of six varying percentage blends of locally abundant, underutilized crops; malted acha (Digitaria exiles), aya (Cyperus esculentus) and ede (Colocasia esculentum) flours as weaning foods. The results of bulk density and starch digestibility showed a decrease with increasing percentage addition of malted acha with values from 5.889±0.98 to 7.953±0.103; -5.45 to -13.6 respectively. While water absorption capacity, measure of dispersibility, wettability, swelling power, % solubility increased with increase in percentage addition of malted acha with values from 6.6±0.712 to 8.1±0.1; 2.12 to 37.225; 3.21±0.04 to 3.6±0.03; 20.64 to 24.46 respectively. There was no significant difference between all the formula and the control. Results of pasting properties showed that the peak viscosity, break down, final viscosity, setback values from -0.42±0.085 to -3.67±0.085; 5.63±0.045 to 1.79±0.04;-3.88±0.045 to -1.475±0.275; 2.17±0.045 to 2.93±0.045 respectively. There was no significant different between some of the weaning formula and the control for peak viscosity, break down, final viscosity and temperatures required to form paste. The formula compared favorably with the control- a commercially sold formula. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=weaning%20food" title="weaning food">weaning food</a>, <a href="https://publications.waset.org/abstracts/search?q=functional%20properties" title=" functional properties"> functional properties</a>, <a href="https://publications.waset.org/abstracts/search?q=under-utilized%20crops" title=" under-utilized crops"> under-utilized crops</a>, <a href="https://publications.waset.org/abstracts/search?q=blends" title=" blends"> blends</a> </p> <a href="https://publications.waset.org/abstracts/4372/evaluating-the-functional-properties-of-flours-varying-percentage-blend-of-malted-acha-aya-and-ede-flours-as-potentials-for-weaning-food-formulation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/4372.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">446</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">7149</span> Finite Element Method for Solving the Generalized RLW Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdel-Maksoud%20Abdel-Kader%20Soliman">Abdel-Maksoud Abdel-Kader Soliman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The General Regularized Long Wave (GRLW) equation is solved numerically by giving a new algorithm based on collocation method using quartic B-splines at the mid-knot points as element shape. Also, we use the Fourth Runge-Kutta method for solving the system of first order ordinary differential equations instead of finite difference method. Our test problems, including the migration and interaction of solitary waves, are used to validate the algorithm which is found to be accurate and efficient. The three invariants of the motion are evaluated to determine the conservation properties of the algorithm. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=generalized%20RLW%20equation" title="generalized RLW equation">generalized RLW equation</a>, <a href="https://publications.waset.org/abstracts/search?q=solitons" title=" solitons"> solitons</a>, <a href="https://publications.waset.org/abstracts/search?q=quartic%20b-spline" title=" quartic b-spline"> quartic b-spline</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20partial%20differential%20equations" title=" nonlinear partial differential equations"> nonlinear partial differential equations</a>, <a href="https://publications.waset.org/abstracts/search?q=difference%20equations" title=" difference equations"> difference equations</a> </p> <a href="https://publications.waset.org/abstracts/9023/finite-element-method-for-solving-the-generalized-rlw-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/9023.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">489</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">7148</span> Matrix Valued Difference Equations with Spectral Singularities</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Serifenur%20Cebesoy">Serifenur Cebesoy</a>, <a href="https://publications.waset.org/abstracts/search?q=Yelda%20Aygar"> Yelda Aygar</a>, <a href="https://publications.waset.org/abstracts/search?q=Elgiz%20Bairamov"> Elgiz Bairamov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, we examine some spectral properties of non-selfadjoint matrix-valued difference equations consisting of a polynomial type Jost solution. The aim of this study is to investigate the eigenvalues and spectral singularities of the difference operator L which is expressed by the above-mentioned difference equation. Firstly, thanks to the representation of polynomial type Jost solution of this equation, we obtain asymptotics and some analytical properties. Then, using the uniqueness theorems of analytic functions, we guarantee that the operator L has a finite number of eigenvalues and spectral singularities. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=asymptotics" title="asymptotics">asymptotics</a>, <a href="https://publications.waset.org/abstracts/search?q=continuous%20spectrum" title=" continuous spectrum"> continuous spectrum</a>, <a href="https://publications.waset.org/abstracts/search?q=difference%20equations" title=" difference equations"> difference equations</a>, <a href="https://publications.waset.org/abstracts/search?q=eigenvalues" title=" eigenvalues"> eigenvalues</a>, <a href="https://publications.waset.org/abstracts/search?q=jost%20functions" title=" jost functions"> jost functions</a>, <a href="https://publications.waset.org/abstracts/search?q=spectral%20singularities" title=" spectral singularities"> spectral singularities</a> </p> <a href="https://publications.waset.org/abstracts/32256/matrix-valued-difference-equations-with-spectral-singularities" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/32256.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">446</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">7147</span> Numerical Investigation of Beam-Columns Subjected to Non-Proportional Loadings under Ambient Temperature Conditions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=George%20Adomako%20Kumi">George Adomako Kumi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The response of structural members, when subjected to various forms of non-proportional loading, plays a major role in the overall stability and integrity of a structure. This research seeks to present the outcome of a finite element investigation conducted by the use of finite element programming software ABAQUS to validate the experimental results of elastic and inelastic behavior and strength of beam-columns subjected to axial loading, biaxial bending, and torsion under ambient temperature conditions. The application of the rigorous and highly complicated ABAQUS finite element software will seek to account for material, non-linear geometry, deformations, and, more specifically, the contact behavior between the beam-columns and support surfaces. Comparisons of the three-dimensional model with the results of actual tests conducted and results from a solution algorithm developed through the use of the finite difference method will be established in order to authenticate the veracity of the developed model. The results of this research will seek to provide structural engineers with much-needed knowledge about the behavior of steel beam columns and their response to various non-proportional loading conditions under ambient temperature conditions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=beam-columns" title="beam-columns">beam-columns</a>, <a href="https://publications.waset.org/abstracts/search?q=axial%20loading" title=" axial loading"> axial loading</a>, <a href="https://publications.waset.org/abstracts/search?q=biaxial%20bending" title=" biaxial bending"> biaxial bending</a>, <a href="https://publications.waset.org/abstracts/search?q=torsion" title=" torsion"> torsion</a>, <a href="https://publications.waset.org/abstracts/search?q=ABAQUS" title=" ABAQUS"> ABAQUS</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference%20method" title=" finite difference method"> finite difference method</a> </p> <a href="https://publications.waset.org/abstracts/141589/numerical-investigation-of-beam-columns-subjected-to-non-proportional-loadings-under-ambient-temperature-conditions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/141589.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">180</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=finite%20difference%20formula&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=finite%20difference%20formula&page=3">3</a></li> <li class="page-item"><a class="page-link" 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