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

dc.authoridKAYA, DOĞAN/0000-0002-8400-5313
dc.authorwosidKAYA, DOĞAN/ABD-9843-2020
dc.contributor.authorGeyikli, T
dc.contributor.authorKaya, D
dc.date.accessioned2024-08-04T20:15:04Z
dc.date.available2024-08-04T20:15:04Z
dc.date.issued2005
dc.departmentİnönü Üniversitesien_US
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.en_US
dc.identifier.doi10.1016/j.amc.2004.10.045
dc.identifier.endpage156en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-27144546034en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage146en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2004.10.045
dc.identifier.urihttps://hdl.handle.net/11616/94149
dc.identifier.volume169en_US
dc.identifier.wosWOS:000232698000012en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectthe decomposition methoden_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectsplines finite element methoden_US
dc.subjectGalerkin methoden_US
dc.subjectsoliton solutionen_US
dc.titleComparison of the solutions obtained by B-spline FEM and ADM of KdV equationen_US
dc.typeArticleen_US

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