Liang, ZongqiYan, YubinCai, Guorong2015-10-072015-10-072014-10-29Liang, Z., Yan, Y., & Cai, G. (2014). A Dufort-Frankel Difference Scheme for Two-Dimensional Sine-Gordon Equation. Discrete Dynamics in Nature and Society, 2014, 22. doi: 10.1155/2014/7843871026-02261607-887X10.1155/2014/784387http://hdl.handle.net/10034/579442A 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.enArchived with thanks to Discrete Dynamics in Nature and SocietyAn error occurred on the license name.An error occurred getting the license - uri.finite difference methodSIne-Gordon equationDufort-Frankel difference schemeArticleDiscrete Dynamics in Nature and Society