A Numerical Approach to the Rosenau-KdV equation using Galerkin Cubic Finite Element Method

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dc.authoridKaraagac, Berat/0000-0002-6020-3243
dc.authoridKutluay, Selçuk/0000-0001-9610-504X
dc.authoridUÇAR, Yusuf/0000-0003-1469-5002
dc.authorwosidKaraagac, Berat/E-6311-2019
dc.authorwosidKutluay, Selçuk/AAA-3586-2021
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.contributor.authorUcar, Y.
dc.contributor.authorKaraagac, B.
dc.contributor.authorKutluay, S.
dc.date.accessioned2024-08-04T20:56:20Z
dc.date.available2024-08-04T20:56:20Z
dc.date.issued2017
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, a Galerkin finite element method has been used to solve numerically the Rosenau-KdV equation using cubic B-spline functions. The system of ordinary differential equations obtained in terms of element parameters by the application of the method has been solved by using the fourth order Runge-Kutta method. The error norms L-2 and L-infinity together with invariants I-1 and I-2 have been calculated to show the accuracy and efficiency of the method. The computed results have been compared with exact values and also other numerical results available in the literature.en_US
dc.identifier.endpage92en_US
dc.identifier.issn0973-1377
dc.identifier.issn0973-7545
dc.identifier.issue3en_US
dc.identifier.startpage83en_US
dc.identifier.urihttps://hdl.handle.net/11616/102223
dc.identifier.volume56en_US
dc.identifier.wosWOS:000391133000009en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherCentre Environment Social & Economic Research Publ-Ceseren_US
dc.relation.ispartofInternational Journal of Applied Mathematics & Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGalerkin finite element methoden_US
dc.subjectRosenau-KdV equationen_US
dc.subjectRunge-Kutta methoden_US
dc.subjectcubic B-splineen_US
dc.subjectsolitary waveen_US
dc.titleA Numerical Approach to the Rosenau-KdV equation using Galerkin Cubic Finite Element Methoden_US
dc.typeArticleen_US

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