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Article: Split local artificial boundary conditions for the two-dimensional sine-gordon equation on R2

TitleSplit local artificial boundary conditions for the two-dimensional sine-gordon equation on R2
Authors
KeywordsSine-Gordon equation
Unbounded domain
Soliton
Operator splitting method
Artificial boundary condition
Issue Date2011
Citation
Communications in Computational Physics, 2011, v. 10, n. 5, p. 1161-1183 How to Cite?
AbstractIn this paper the numerical solution of the two-dimensional sine-Gordon equation is studied. Split local artificial boundary conditions are obtained by the operator splitting method. Then the original problem is reduced to an initial boundary value problem on a bounded computational domain, which can be solved by the finite differencemethod. Several numerical examples are provided to demonstrate the effectiveness and accuracy of the proposed method, and some interesting propagation and collision behaviors of the solitary wave solutions are observed. © 2011 Global-Science Press.
Persistent Identifierhttp://hdl.handle.net/10722/219653
ISSN
2015 Impact Factor: 1.778
2015 SCImago Journal Rankings: 1.198

 

DC FieldValueLanguage
dc.contributor.authorHan, Houde-
dc.contributor.authorZhang, Zhiwen-
dc.date.accessioned2015-09-23T02:57:38Z-
dc.date.available2015-09-23T02:57:38Z-
dc.date.issued2011-
dc.identifier.citationCommunications in Computational Physics, 2011, v. 10, n. 5, p. 1161-1183-
dc.identifier.issn1815-2406-
dc.identifier.urihttp://hdl.handle.net/10722/219653-
dc.description.abstractIn this paper the numerical solution of the two-dimensional sine-Gordon equation is studied. Split local artificial boundary conditions are obtained by the operator splitting method. Then the original problem is reduced to an initial boundary value problem on a bounded computational domain, which can be solved by the finite differencemethod. Several numerical examples are provided to demonstrate the effectiveness and accuracy of the proposed method, and some interesting propagation and collision behaviors of the solitary wave solutions are observed. © 2011 Global-Science Press.-
dc.languageeng-
dc.relation.ispartofCommunications in Computational Physics-
dc.subjectSine-Gordon equation-
dc.subjectUnbounded domain-
dc.subjectSoliton-
dc.subjectOperator splitting method-
dc.subjectArtificial boundary condition-
dc.titleSplit local artificial boundary conditions for the two-dimensional sine-gordon equation on R2-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.4208/cicp.050610.021210a-
dc.identifier.scopuseid_2-s2.0-80051761980-
dc.identifier.volume10-
dc.identifier.issue5-
dc.identifier.spage1161-
dc.identifier.epage1183-
dc.identifier.eissn1991-7120-

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