QUINTIC B-SPLINE METHOD FOR NUMERICAL SOLUTION OF THE ROSENAU-BURGERS EQUATION

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dc.contributor.authorAbazari, Reza
dc.contributor.authorYildirim, Kenan
dc.date.accessioned2020-01-29T18:51:49Z
dc.date.available2020-01-29T18:51:49Z
dc.date.issued2019
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, the quintic B-spline method is employed to calculatenumerical solution of the initial-boundary value problem of Rosenau-Burgersequation. This scheme is based on the Crank-Nicolson formulation for time integration and quintic B-spline functions for space integration. The unconditional stability of the method is proved using Von-Neumann approach. A priori bound and the error estimates of the approximate solutions are discussed with a numerical example.en_US
dc.identifier.endpage979en_US
dc.identifier.issn1304-7205
dc.identifier.issn1304-7191
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85149994504
dc.identifier.scopusqualityN/A
dc.identifier.startpage967en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12639/696
dc.identifier.volume37en_US
dc.identifier.wosWOS:000488302000021
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherYILDIZ TECHNICAL UNIVen_US
dc.relation.ispartofSIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISIen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectRosenau-Burgers equationen_US
dc.subjectquintic b-spline methoden_US
dc.subjectCrank-Nicolson schemeen_US
dc.subjectThomas algorithmen_US
dc.titleQUINTIC B-SPLINE METHOD FOR NUMERICAL SOLUTION OF THE ROSENAU-BURGERS EQUATIONen_US
dc.typeArticle

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