Meshless method of lines for the numerical solution of generalized Kuramoto-Sivashinsky equation |
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Authors: | Sirajul Haq SIA Tirmizi M Usman |
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Institution: | a Faculty of Engineering Sciences, GIK Institute, Topi, Pakistan b Department of Mathematics, University of Dayton, Ohio, USA |
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Abstract: | In this paper, the numerical solution of the generalized Kuramoto-Sivashinsky equation is presented by meshless method of lines (MOL). In this method the spatial derivatives are approximated by radial basis functions (RBFs) giving an edge over finite difference method (FDM) and finite element method (FEM) because no mesh is required for discretization of the problem domain. Only a set of scattered nodes is required to approximate the solution. The numerical results in comparison with exact solution using different radial basis functions (RBFs) prove the efficiency and accuracy of the method. |
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Keywords: | Generalized Kuramoto-Sivashinsky (GKS) equation Method of lines (MOL) Meshless Radial basis functions (RBFs) |
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