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Article: An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain

TitleAn analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain
Authors
KeywordsDiscrete Artificial Boundary Condition (DABC)
Energy method
Unbounded domain
Artificial Boundary Condition (ABC)
Fast algorithm
Issue Date2009
Citation
Applied Numerical Mathematics, 2009, v. 59, n. 7, p. 1568-1583 How to Cite?
AbstractThe numerical solution of the one-dimensional Klein-Gordon equation on an unbounded domain is analyzed in this paper. Two artificial boundary conditions are obtained to reduce the original problem to an initial boundary value problem on a bounded computational domain, which is discretized by an explicit difference scheme. The stability and convergence of the scheme are analyzed by the energy method. A fast algorithm is obtained to reduce the computational cost and a discrete artificial boundary condition (DABC) is derived by the Z-transform approach. Finally, we illustrate the efficiency of the proposed method by several numerical examples. © 2008 IMACS.
Persistent Identifierhttp://hdl.handle.net/10722/219841
ISSN
2015 Impact Factor: 1.414
2015 SCImago Journal Rankings: 1.254

 

DC FieldValueLanguage
dc.contributor.authorHan, Houde-
dc.contributor.authorZhang, Zhiwen-
dc.date.accessioned2015-09-23T02:58:04Z-
dc.date.available2015-09-23T02:58:04Z-
dc.date.issued2009-
dc.identifier.citationApplied Numerical Mathematics, 2009, v. 59, n. 7, p. 1568-1583-
dc.identifier.issn0168-9274-
dc.identifier.urihttp://hdl.handle.net/10722/219841-
dc.description.abstractThe numerical solution of the one-dimensional Klein-Gordon equation on an unbounded domain is analyzed in this paper. Two artificial boundary conditions are obtained to reduce the original problem to an initial boundary value problem on a bounded computational domain, which is discretized by an explicit difference scheme. The stability and convergence of the scheme are analyzed by the energy method. A fast algorithm is obtained to reduce the computational cost and a discrete artificial boundary condition (DABC) is derived by the Z-transform approach. Finally, we illustrate the efficiency of the proposed method by several numerical examples. © 2008 IMACS.-
dc.languageeng-
dc.relation.ispartofApplied Numerical Mathematics-
dc.subjectDiscrete Artificial Boundary Condition (DABC)-
dc.subjectEnergy method-
dc.subjectUnbounded domain-
dc.subjectArtificial Boundary Condition (ABC)-
dc.subjectFast algorithm-
dc.titleAn analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.apnum.2008.10.005-
dc.identifier.scopuseid_2-s2.0-63549087831-
dc.identifier.volume59-
dc.identifier.issue7-
dc.identifier.spage1568-
dc.identifier.epage1583-

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