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dc.contributor.authorLiang, Zongqi*
dc.contributor.authorYan, Yubin*
dc.contributor.authorCai, Guorong*
dc.date.accessioned2015-10-07T14:11:51Z
dc.date.available2015-10-07T14:11:51Z
dc.date.issued2014-10-29
dc.identifier.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: 10.1155/2014/784387en
dc.identifier.issn1026-0226en
dc.identifier.issn1607-887Xen
dc.identifier.doi10.1155/2014/784387
dc.identifier.urihttp://hdl.handle.net/10034/579442
dc.description.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.
dc.language.isoenen
dc.publisherHindawien
dc.relation.urlhttp://www.hindawi.com/journals/ddns/2014/784387/en
dc.rightsArchived with thanks to Discrete Dynamics in Nature and Societyen
dc.rightsAn error occurred on the license name.*
dc.rights.uriAn error occurred getting the license - uri.*
dc.subjectfinite difference methoden
dc.subjectSIne-Gordon equationen
dc.subjectDufort-Frankel difference schemeen
dc.titleA Dufort-Frankel Difference Scheme for Two-Dimensional Sine-Gordon Equationen
dc.typeArticleen
dc.contributor.departmentUniversity of Chesteren
dc.identifier.journalDiscrete Dynamics in Nature and Society
dc.date.accepted2014-07-24
html.description.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.
rioxxterms.publicationdate2014-10-29


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