An application of trigonometric quintic b-spline collocation method for sawada- kotera equation

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dc.authorscopusid57189091352
dc.authorscopusid7006187582
dc.authorscopusid55653611400
dc.contributor.authorKarabenli H.
dc.contributor.authorEsen A.
dc.contributor.authorYağmurlu N.M.
dc.date.accessioned2024-08-04T20:03:32Z
dc.date.available2024-08-04T20:03:32Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, we deal with the numerical solution of Sawada-Kotera (SK) equation classified as the type of fifth order Korteweg-de Vries (gfKdV) equation. In the first step of our study consisting of several steps, nonlinear model problem is split into the system with the coupled new equations by using the transformation wxxx = v. In the second step, to get rid of the nonlinearity of the problem, Rubin-Graves type linearization is used. After these applications, the approximate solutions are obtained by using the trigonometric quintic B-Spline collocation method. The efficiency and accuracy of the present method is demonstrated with the tables and graphs. As it is seen in the tables given with the error nouns L2 and for different time and space steps, the present method is more accurate for the larger element) numbers and smaller time steps. © 2022, Adiyaman University. All rights reserved.en_US
dc.identifier.doi10.37094/adyujsci.1156498
dc.identifier.endpage282en_US
dc.identifier.issn2147-1630
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85159866593en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage269en_US
dc.identifier.trdizinid1151276en_US
dc.identifier.urihttps://doi.org/10.37094/adyujsci.1156498
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/1151276
dc.identifier.urihttps://hdl.handle.net/11616/91907
dc.identifier.volume12en_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherAdiyaman Universityen_US
dc.relation.ispartofAdiyaman University Journal of Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCollocation Finite Element Methoden_US
dc.subjectRubin-Graves Type Linearizationen_US
dc.subjectSawada-Kotera Equationen_US
dc.subjectTrigonometric Quintic B-Splineen_US
dc.titleAn application of trigonometric quintic b-spline collocation method for sawada- kotera equationen_US
dc.title.alternativeSawada-Kotera Denklemi için Trigonometrik Beşli Baz Fonksiyonları Kollokasyon Yönteminin Bir Uygulamasıen_US
dc.typeArticleen_US

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