A Dufort-Frankel Difference Scheme for Two-Dimensional Sine-Gordon Equation
AffiliationUniversity of Chester
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AbstractA 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.
CitationLiang, 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: 10.1155/2014/784387
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