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

Liang, Zongqi
; 
Yan, Yubin
; 
Cai, Guorong
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Affiliation
University of Chester
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2014-10-29
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Mathematics
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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.
Citation
Liang, 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
Publisher
Hindawi
Journal
Discrete Dynamics in Nature and Society
Research Unit
URI
http://hdl.handle.net/10034/579442
DOI
10.1155/2014/784387
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Article
Language
en
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ISSN
1026-0226
1607-887X
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http://www.hindawi.com/journals/ddns/2014/784387/