Numerical solution by quintic B-spline collocation finite element method of generalized Rosenau-Kawahara equation

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dc.authoridOzer, Sibel/0000-0003-4956-4002
dc.authorwosidÖzer, Sibel/AAA-6070-2021
dc.contributor.authorOzer, Sibel
dc.date.accessioned2024-08-04T20:50:32Z
dc.date.available2024-08-04T20:50:32Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this study, numerical solution of generalized Rosenau-Kawahara equation with quintic B-spline collocation finite element method has been obtained. First, the generalized Rosenau-Kawahara equation is converted into a coupled differential equation system by the change of variable for the derivative with respect to space variable. Then, the numerical integrations of the resulting system according to time and space were obtained using the Crank-Nicolson-type formulation and quintic B-spline functions, respectively. The obtained numerical scheme has been applied to four model problems. It is seen that the results obtained from the presented scheme are compatible with the analytical solution, the error norms are smaller than those given in the literature, and conservation constants remain virtually unchanged.en_US
dc.identifier.doi10.1007/s40096-021-00413-5
dc.identifier.endpage224en_US
dc.identifier.issn2008-1359
dc.identifier.issn2251-7456
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85111959230en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage213en_US
dc.identifier.urihttps://doi.org/10.1007/s40096-021-00413-5
dc.identifier.urihttps://hdl.handle.net/11616/100104
dc.identifier.volume16en_US
dc.identifier.wosWOS:000657219000001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofMathematical Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRosenau-Kawahara equationen_US
dc.subjectQuintic B-spline functionsen_US
dc.subjectCollocation methoden_US
dc.titleNumerical solution by quintic B-spline collocation finite element method of generalized Rosenau-Kawahara equationen_US
dc.typeArticleen_US

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