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

Zongqi Liang, Yubin Yan and Guorong Cai

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-22

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:784387

DOI: 10.1155/2014/784387

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