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

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dc.authoridKAYA, DOĞAN/0000-0002-8400-5313
dc.authorwosidKAYA, DOĞAN/ABD-9843-2020
dc.contributor.authorGeyikli, T
dc.contributor.authorKaya, D
dc.date.accessioned2024-08-04T20:15:02Z
dc.date.available2024-08-04T20:15:02Z
dc.date.issued2005
dc.departmentİnönü Üniversitesien_US
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.en_US
dc.identifier.doi10.1016/j.amc.2004.11.017
dc.identifier.endpage981en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-25844433115en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage971en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2004.11.017
dc.identifier.urihttps://hdl.handle.net/11616/94119
dc.identifier.volume169en_US
dc.identifier.wosWOS:000232811600020en_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.titleAn application for a modified KdV equation by the decomposition method and finite element methoden_US
dc.typeArticleen_US

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