A Meshfree Method for Numerical Solution of Nonhomogeneous Time-Dependent Problems

被引：2
|
作者：
Jiang, Ziwu [1 ]
Su, Lingde [1 ,2 ]
Jiang, Tongsong [1 ]
机构：
[1] Linyi Univ, Dept Math, Linyi 276005, Peoples R China
[2] Shandong Normal Univ, Coll Math, Jinan 250014, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
基金：
中国国家自然科学基金;
关键词：
VARIABLE-COEFFICIENTS; DIFFUSION-EQUATIONS; SCATTERED DATA; INTERPOLATION; COLLOCATION;
D O I：
10.1155/2014/978310
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose a new numerical meshfree scheme to solve time-dependent problems with variable coefficient governed by telegraph and wave equations which are more suitable than ordinary diffusion equations in modelling reaction diffusion for such branches of sciences. Finite difference method is adopted to deal with time variable and its derivative, and radial basis functions method is developed for spatial discretization. The results of numerical experiments are presented and are compared with analytical solutions to confirm the accuracy of our scheme.
引用
收藏
页数：11
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