A novel perspective for simulations of the MEW 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.accessioned2024-08-04T20:53:31Z
dc.date.available2024-08-04T20:53:31Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn the present study, the Modified Equal Width (MEW) wave equation is going to be solved numerically by presenting a new technique based on the collocation finite element method in which trigonometric cubic B-splines are used as approximate functions. In order to support the present study, three test problems; namely, the motion of a single solitary wave, the interaction of two solitary waves, and the birth of solitons are studied. The newly obtained results are compared with some of the other published numerical solutions available in the literature. The accuracy of the proposed method is discussed by computing the numerical conserved laws as well as the error norms L2 and Loo.en_US
dc.identifier.doi10.22034/cmde.2021.47358.1981
dc.identifier.endpage1058en_US
dc.identifier.issn2345-3982
dc.identifier.issn2383-2533
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85149736170en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage1046en_US
dc.identifier.urihttps://doi.org/10.22034/cmde.2021.47358.1981
dc.identifier.urihttps://hdl.handle.net/11616/101215
dc.identifier.volume10en_US
dc.identifier.wosWOS:001009603700014en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Tabrizen_US
dc.relation.ispartofComputational Methods For Differential Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFinite element methoden_US
dc.subjectCollocation methoden_US
dc.subjectSolitary wavesen_US
dc.subjectModified equal width equationen_US
dc.subjectTrigonometric B-splinesen_US
dc.titleA novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearizationen_US
dc.typeArticleen_US

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