A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions

被引：347

作者：

Dehghan, Mehdi ^{[1
]}

Shokri, Ali ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2008年 / 79卷 / 03期

关键词：

Two-dimensional damped/undamped sine-Gordon equation; Soliton; Collocation; Radial basis function (RBF); Thin plate splines (TPS);

D O I：

10.1016/j.matcom.2008.04.018

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

ne nonlinear sine-Gordon equation arises in various problems in science and engineering. In this paper, we propose a numerical scheme to solve the two-dimensional damped/undamped sine-Gordon equation. The proposed scheme is based on using collocation points and approximating the solution employing the thin plate splines (TPS) radial basis function (RBF). The new scheme works in a similar fashion as finite difference methods. Numerical results are obtained for various cases involving line and ring solitons. (C) 2008 IMACS. Published by Elsevier B.V. All tights reserved.

引用

页码：700 / 715

页数：16

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