Comparison of the solutions obtained by B-spline FEM and ADM of KdV equation

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dc.contributor.authorGeyikli, T
dc.contributor.authorKaya, D
dc.date.accessioned2026-08-12T17:43:42Z
dc.date.issued2005
dc.departmentFırat Üniversitesi
dc.description.abstractA numerical Solution to a generalized Korteweg-de Vries (KdV) equation is obtained using the Galerkin method with quadratic B-spline finite element method (FEM) over which the nonlinear term is locally linearized 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. 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.2004.10.045
dc.identifier.endpage156
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue1
dc.identifier.scopus2-s2.0-27144546034
dc.identifier.scopusqualityQ1
dc.identifier.startpage146
dc.identifier.urihttps://doi.org/10.1016/j.amc.2004.10.045
dc.identifier.urihttps://hdl.handle.net/11508/60242
dc.identifier.volume169
dc.identifier.wosWOS:000232698000012
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.titleComparison of the solutions obtained by B-spline FEM and ADM of KdV equation
dc.typeArticle

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