Numerical solutions of nonhomogeneous Rosenau type equations by quintic B-spline collocation method

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dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254
dc.authoridOzer, Sibel/0000-0003-4956-4002
dc.authorwosidÖzer, Sibel/AAA-6070-2021
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.contributor.authorOzer, Sibel
dc.contributor.authorYagmurlu, Nuri Murat
dc.date.accessioned2024-08-04T20:51:38Z
dc.date.available2024-08-04T20:51:38Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this study, a numerical scheme based on a collocation finite element method using quintic B-spline functions for getting approximate solutions of nonhomogeneous Rosenau type equations prescribed by initial and boundary conditions is proposed. The numerical scheme is tested on four model problems with known exact solutions. To show how accurate results the proposed scheme produces, the error norms defined by L-2 and L-infinity are calculated. Additionally, the stability analysis of the scheme is done by means of the von Neuman method.en_US
dc.identifier.doi10.1002/mma.8125
dc.identifier.endpage5558en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85124101624en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage5545en_US
dc.identifier.urihttps://doi.org/10.1002/mma.8125
dc.identifier.urihttps://hdl.handle.net/11616/100462
dc.identifier.volume45en_US
dc.identifier.wosWOS:000750272700001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in The Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectcollocation methoden_US
dc.subjectquintic B-Spline functionsen_US
dc.subjectRosenauen_US
dc.subjectRosenau-KdV-RLWen_US
dc.subjectRosenau-Burgeren_US
dc.subjectRosenau-RLWen_US
dc.titleNumerical solutions of nonhomogeneous Rosenau type equations by quintic B-spline collocation methoden_US
dc.typeArticleen_US

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