Fractional diffusion equations by the Kansa method

被引：207

作者：

Chen, Wen ^{[1
]}

Ye, Linjuan ^{[1
]}

Sun, Hongguang ^{[1
]}

机构：

[1] Hohai Univ, Dept Engn Mech, Nanjing 210098, Jiangsu, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Anomalous diffusion; Time fractional derivative; Kansa method; Radial basis function; FINITE-DIFFERENCE APPROXIMATIONS; MESHLESS METHODS; DISPERSION; COLLOCATION;

D O I：

10.1016/j.camwa.2009.08.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study makes the first attempt to apply the Kansa method in the solution of the time fractional diffusion equations, in which the MultiQuadrics and thin plate spline serve as the radial basis function. In the discretization formulation, the finite difference scheme and the Kansa method are respectively used to discretize time fractional derivative and spatial derivative terms. The numerical solutions of one- and two-dimensional cases are presented and discussed, which agree well with the corresponding analytical solution. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1614 / 1620

页数：7

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