Particular Solutions of a Class of Nonlinear Reaction-Diffusion Equations

被引：0
|
作者：
Chu, Hongxue [1 ]
Jiang, Tongsong [1 ]
机构：
[1] Linyi Univ, Chool Sci, Linyi 276005, Peoples R China
来源：
INFORMATION COMPUTING AND APPLICATIONS, ICICA 2013, PT I | 2013年 / 391卷
关键词：
Nonlinear Reaction-Diffusion Equations; The Method of Particular Solutions(MPS); Radial Basis Function (RBF); Multiquadrics (MQ); Thin Plate Splines (TPS); NUMERICAL-METHOD; COLLOCATION;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we propose the Method of Particular Solutions for Solving a Class of Nonlinear Reaction-Diffusion Equations using collocation points and approximating the solution using multiquadrics (MQ) and the Thin Plate Splines (TPS) Radial Basis Function (RBF). The scheme works in a similar fashion as finite-difference methods. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the good accuracy of the presented scheme.
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页码：584 / 592
页数：9
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