An application for a modified KdV equation by the decomposition method and finite element method

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dc.contributor.authorGeyikli, T
dc.contributor.authorKaya, D
dc.date.accessioned2026-08-12T17:43:40Z
dc.date.issued2005
dc.departmentFırat Üniversitesi
dc.description.abstractA numerical solution to a Modified Korteweg-cle Vries (MKdV) equation is obtained using a lumped Galerkin method with quadratic B-spline finite element method (FEM) and using the Adomian's Decomposition Method (ADM). Test problems concerning the motion and interaction of soliton solutions are used to compare the FEM with the ADM. Classical problems concerning the development, motion and interaction of solitons are used to validate the methods. The present methods extremely well in terms of accuracy, efficiency, simplicity, stability and reliability. (c) 2004 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.amc.2004.11.017
dc.identifier.endpage981
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue2
dc.identifier.scopus2-s2.0-25844433115
dc.identifier.scopusqualityQ1
dc.identifier.startpage971
dc.identifier.urihttps://doi.org/10.1016/j.amc.2004.11.017
dc.identifier.urihttps://hdl.handle.net/11508/60230
dc.identifier.volume169
dc.identifier.wosWOS:000232811600020
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.subjectthe decomposition method
dc.subjectKorteweg-de Vries equation
dc.subjectsplines finite element method
dc.subjectGalerkin method
dc.subjectsoliton solution
dc.titleAn application for a modified KdV equation by the decomposition method and finite element method
dc.typeArticle

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