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	Numerical solution of the Sturm-Liouville problem with local RBF-based differential quadrature collocation method
	Shen, Quan
	2011
关键词	local RBF-based differential quadrature radial basis function globally supported radial basis function Sturm-Liouville problem collocation method multiquadric finite difference method meshless RADIAL BASIS FUNCTIONS COMPUTATIONAL FLUID-DYNAMICS POSITIVE DEFINITE FUNCTIONS DATA APPROXIMATION SCHEME SCATTERED DATA INTERPOLATION EQUATIONS MULTIQUADRICS
英文摘要	In this article, we present a local RBF-based differential quadrature (LRBFDQ) collocation method for the Sturm-Liouville problem with Dirichlet, Neumann, mixed, periodic, and semi-periodic boundary conditions. Compared with the globally supported RBF (GSRBF) collocation method, this novel method approximates the derivatives by RBF interpolation using a small set of nodes in the neighbourhood of any collocation node. Less computational time is needed than the GSRBF collocation method. Compared with the GSRBF collocation method and the finite difference method (FDM), numerical results demonstrate the accuracy and easy implementation of the LRBFDQ collocation method.; Mathematics, Applied; SCI(E); 2; ARTICLE; 2; 285-295; 88
语种	英语
出处	SCI
出版者	international journal of computer mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157608]
专题	数学科学学院
推荐引用方式 GB/T 7714	Shen, Quan. Numerical solution of the Sturm-Liouville problem with local RBF-based differential quadrature collocation method. 2011-01-01.

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