The Boundary Integral Equation Approach for Numerical Solution of the One-Dimensional Sine-Gordon Equation

被引：47
|
作者：
Dehghan, Mehdi [1 ]
Mirzaei, Davoud [1 ]
机构：
[1] Amirkabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran 15914, Iran
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2008年 / 24卷 / 06期
关键词：
boundary integral equation; dual reciprocity method; Sine-Gordon equation; conservation of energy;
D O I：
10.1002/num.20325
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article describes a numerical method based on the boundary, integral equation and dual reciprocity method for solving the one-dimensional Sine-Gordon (SG) equation. The time derivative is approximated by the time-stepping method and a predictor-corrector scheme is employed to deal with the nonlinearity which appears in the problem. Numerical results are presented for some problems to demonstrate the usefulness and accuracy of this approach. In addition, the conservation of energy in SG equation is investigated. (C) 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 24: 1405-1415, 2008
引用
收藏
页码：1405 / 1415
页数：11
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