Two efficient numerical methods for solving Rosenau-KdV-RLW equation

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dc.authoridOzer, Sibel/0000-0003-4956-4002
dc.authorwosidÖzer, Sibel/AAA-6070-2021
dc.contributor.authorOzer, Sibel
dc.date.accessioned2024-08-04T20:49:14Z
dc.date.available2024-08-04T20:49:14Z
dc.date.issued2021
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this study, two efficient numerical schemes based on B-spline finite element method (FEM) and time-splitting methods for solving Rosenau-KdV-RLW equation are presented. In the first method, the equation is solved by cubic B-spline Galerkin FEM. For the second method, after splitting Rosenau-KdV-RLW equation in time, it is solved by Strang timesplitting technique using cubic B-spline Galerkin FEM. The differential equation system in the methods is solved by the fourth-order Runge-Kutta method. The stability analysis of the methods is performed. Both methods are applied to an example. The obtained numerical results are compared with some methods available in the literature via the error norms L-2 and L-infinity, convergence rates, and mass and energy conservation constants. The present results are found to be consistent with the compared ones.en_US
dc.identifier.doi10.48129/kjs.v48i1.8610
dc.identifier.endpage24en_US
dc.identifier.issn2307-4108
dc.identifier.issn2307-4116
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85099318854en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage14en_US
dc.identifier.urihttps://doi.org/10.48129/kjs.v48i1.8610
dc.identifier.urihttps://hdl.handle.net/11616/99717
dc.identifier.volume48en_US
dc.identifier.wosWOS:000651779900003en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAcademic Publication Councilen_US
dc.relation.ispartofKuwait Journal of Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCubic B-spline functionsen_US
dc.subjectGalerkin methoden_US
dc.subjectRosenau-KdV-RLWen_US
dc.subjectStrang time-splittingen_US
dc.titleTwo efficient numerical methods for solving Rosenau-KdV-RLW equationen_US
dc.typeArticleen_US

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