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.

引用

页数：22

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