文章基本信息

标题：A Dufort-Frankel Difference Scheme for Two-Dimensional Sine-Gordon Equation
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作者：Zongqi Liang ; Yubin Yan ; Guorong Cai 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2014
卷号：2014
DOI：10.1155/2014/784387
出版社：Hindawi Publishing Corporation
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.