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	A meshless method of lines for the numerical solution of KdV equation using radial basis functions
	Shen, Quan
	2009
关键词	Method of lines (MOL) Korteweg-de Vries (KdV) Solitons Meshless Radial basis function (RBF) Multiquadric (MQ) Inverse multiquadric(IMQ) Gaussian (GA) PARTIAL-DIFFERENTIAL-EQUATIONS COMPUTATIONAL FLUID-DYNAMICS BASIS FUNCTION INTERPOLATION DATA APPROXIMATION SCHEME SCATTERED DATA MULTIQUADRICS
英文摘要	In this paper, a meshless method of lines (MOL) is presented for the numerical solution of the Korteweg-de Vries (KdV) equation. This novel method has an advantage over the traditional method of lines which approximates the spatial derivatives using finite difference method (FDM) or finite element method (FEM), because it does not need the mesh in the domain, and it approximates the solution using the radial basis functions (RBFs) on a set of node scattered in problem domain. A comparison among some RBFs is made in numerical examples. Numerical examples demonstrate the accuracy and easy implementation of this novel method and it is an efficient method for the nonlinear time-dependent partial differential equations (PDEs). (C) 2009 Elsevier Ltd. All rights reserved.; Engineering, Multidisciplinary; Mathematics, Interdisciplinary Applications; SCI(E); EI; 13; ARTICLE; 10; 1171-1180; 33
语种	英语
出处	SCI ; EI
出版者	边界元法工程分析
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157718]
专题	数学科学学院
推荐引用方式 GB/T 7714	Shen, Quan. A meshless method of lines for the numerical solution of KdV equation using radial basis functions. 2009-01-01.

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