A numerical solution of the Klein-Gordon equation and convergence of the decomposition method

dc.contributor.authorKaya, D
dc.contributor.authorEl-Sayed, SM
dc.date.accessioned2026-08-12T17:45:07Z
dc.date.issued2004
dc.departmentFırat Üniversitesi
dc.description.abstractThe decomposition method for solving the Klein-Gordon equation has been implemented. The explicit and numerical solutions of the equation are calculated in the form of convergent power series with easily computable components. The present method performs extremely well in terms of accuracy, efficiency, simplicity, stability and reliability. We also proved the convergence of Adomian's decomposition method for the nonlinear Klein-Gordon equation. (C) 2003 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.amc.2003.07.014
dc.identifier.endpage353
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue2
dc.identifier.scopus2-s2.0-3943090453
dc.identifier.scopusqualityQ1
dc.identifier.startpage341
dc.identifier.urihttps://doi.org/10.1016/j.amc.2003.07.014
dc.identifier.urihttps://hdl.handle.net/11508/60549
dc.identifier.volume156
dc.identifier.wosWOS:000224009100005
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier Science Inc
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectdecomposition method
dc.subjectmodified decomposition method
dc.subjectconvergence of the decomposition method
dc.subjectnonlinear Klein-Gordon equations
dc.titleA numerical solution of the Klein-Gordon equation and convergence of the decomposition method
dc.typeArticle

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