Numerical solutions of the equal width equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization

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dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254
dc.authoridKarakaş, Ali Sercan/0000-0001-8622-1127
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.authorwosidKarakaş, Ali Sercan/JNT-0053-2023
dc.contributor.authorYagmurlu, Nuri Murat
dc.contributor.authorKarakas, Ali Sercan
dc.date.accessioned2024-08-04T20:47:22Z
dc.date.available2024-08-04T20:47:22Z
dc.date.issued2020
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this article, the equal width (EW) equation is going to be solved numerically. In order to show the accuracy of the presented method, six test problems namely single solitary wave, interaction of two solitary waves, interaction of three solitary waves, Maxwellian initial condition, undular bore, and soliton collision are going to be solved. For the first test problem, since it has exact solution, the error norms L-2 and L-infinity are going to be calculated and compared with some of the earlier studies existing in the literature. Moreover, the three invariants I-1, I-2, and I-3 of the given problems during the simulations are calculated and tabulated. Besides those comparisons, the relative changes of the invariants are given. Finally, a comparison of those error norms and invariants has clearly shown that the present approach obtained compatible and better results than most of the earlier works by using the same parameters.en_US
dc.identifier.doi10.1002/num.22470
dc.identifier.endpage1183en_US
dc.identifier.issn0749-159X
dc.identifier.issn1098-2426
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85085066218en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1170en_US
dc.identifier.urihttps://doi.org/10.1002/num.22470
dc.identifier.urihttps://hdl.handle.net/11616/99299
dc.identifier.volume36en_US
dc.identifier.wosWOS:000530146700001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofNumerical Methods For Partial Differential Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectcollocation methoden_US
dc.subjectequal width equationen_US
dc.subjectfinite element methoden_US
dc.subjectsolitary wavesen_US
dc.subjecttrigonometric B-splinesen_US
dc.titleNumerical solutions of the equal width equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearizationen_US
dc.typeArticleen_US

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