A Dufort-Frankel Difference Scheme for Two-Dimensional Sine-Gordon Equation

被引：8
|
作者：
Liang, Zongqi [1 ]
Yan, Yubin [2 ]
Cai, Guorong [1 ]
机构：
[1] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
[2] Univ Chester, Dept Math, Chester CHI 4BJ, Cheshire, England
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2014年 / 2014卷
关键词：
SOLITONS; PHYSICS; LIGHT;
D O I：
10.1155/2014/784387
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A standard Crank-Nicolson finite-difference scheme and a Dufort-Frankel finite-difference scheme are introduced to solve two-dimensional damped and undamped sine-Gordon equations. The stability and convergence of the numerical methods are considered. To avoid solving the nonlinear system, the predictor-corrector techniques are applied in the numerical methods. Numerical examples are given to show that the numerical results are consistent with the theoretical results.
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页数：22
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