Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/6331
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dc.contributor.authorCanvar, A.-
dc.contributor.authorSarı, Murat-
dc.contributor.authorDag, I.-
dc.date.accessioned2019-08-16T12:06:01Z
dc.date.available2019-08-16T12:06:01Z
dc.date.issued2010-
dc.identifier.issn0921-4526-
dc.identifier.urihttps://hdl.handle.net/11499/6331-
dc.identifier.urihttps://doi.org/10.1016/j.physb.2010.05.008-
dc.description.abstractIn this paper, to obtain accurate solutions of the Kortewegde Vries (KdV) equation, a TaylorGalerkin method is proposed based on cubic B-splines over finite elements. To tackle this a forward time-stepping technique is accepted in time. To see the accuracy of the proposed method, L2 and L? error norms are calculated in three test problems. The numerical results are found to be in good agreement with exact solutions and with the literature. The applied numerical method has also been shown to be unconditionally stable. In order to find out the physical behaviour of more intricate models, this procedure has been seen to have a great potentiality. © 2010 Elsevier B.V. All rights reserved.en_US
dc.language.isoenen_US
dc.relation.ispartofPhysica B: Condensed Matteren_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCubic B-splinesen_US
dc.subjectKdV equationen_US
dc.subjectPartial differential equationsen_US
dc.subjectSolitonen_US
dc.subjectTaylorGalerkin finite element methoden_US
dc.subjectError normen_US
dc.subjectExact solutionen_US
dc.subjectFinite Elementen_US
dc.subjectGalerkin finite element methodsen_US
dc.subjectKdV equationsen_US
dc.subjectKorteweg-de Vries equationsen_US
dc.subjectNumerical resultsen_US
dc.subjectTaylor-Galerkin methoden_US
dc.subjectTest problemen_US
dc.subjectTime-steppingen_US
dc.subjectUnconditionally stableen_US
dc.subjectComputational fluid dynamicsen_US
dc.subjectComputational mechanicsen_US
dc.subjectModelsen_US
dc.subjectSolitonsen_US
dc.subjectSplinesen_US
dc.subjectFinite element methoden_US
dc.titleA Taylor-Galerkin finite element method for the KdV equation using cubic B-splinesen_US
dc.typeArticleen_US
dc.identifier.volume405en_US
dc.identifier.issue16en_US
dc.identifier.startpage3376
dc.identifier.startpage3376en_US
dc.identifier.endpage3383en_US
dc.authorid0000-0003-0508-2917-
dc.identifier.doi10.1016/j.physb.2010.05.008-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopus2-s2.0-77955305115en_US
dc.identifier.wosWOS:000280542600035en_US
dc.identifier.scopusqualityQ2-
dc.ownerPamukkale University-
item.openairetypeArticle-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.dept17.04. Mathematics-
Appears in Collections:Fen-Edebiyat Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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