Taylor-Galerkin and Taylor-collocation methods for the numerical solutions of Burgers' equation using B-splines

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dc.contributor.authorDağ, İdris
dc.contributor.authorCanıvar, Aynur
dc.contributor.authorŞahin, Ali
dc.date.accessioned13.07.201910:50:10
dc.date.accessioned2019-07-29T19:27:05Z
dc.date.available13.07.201910:50:10
dc.date.available2019-07-29T19:27:05Z
dc.date.issued2011
dc.departmentFen-Edebiyat Fakültesi
dc.description.abstractIn this paper, for the numerical solution of Burgers' equation, we give two B-spline finite element algorithms which involve a collocation method with cubic B-splines and a Galerkin method with quadratic B-splines. In time discretization of the equation, Taylor series expansion is used. In order to verify the stabilities of the purposed methods, von-Neumann stability analysis is employed. To see the accuracy of the methods, L-2 and L-infinity error norms are calculated and obtained results are compared with some earlier studies.
dc.identifier.doi10.1016/j.cnsns.2010.10.009
dc.identifier.endpage2708en_US
dc.identifier.issn1007-5704
dc.identifier.issn1878-7274
dc.identifier.issue7en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage2696en_US
dc.identifier.urihttps://doi.org/10.1016/j.cnsns.2010.10.009
dc.identifier.urihttps://hdl.handle.net/20.500.12451/5783
dc.identifier.volume16en_US
dc.identifier.wosWOS:000288639900006
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherELSEVIER SCIENCE BV
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectTaylor
dc.subjectGalerkin
dc.subjectCollocation
dc.subjectB-spline
dc.subjectBurgers' Equation
dc.titleTaylor-Galerkin and Taylor-collocation methods for the numerical solutions of Burgers' equation using B-splines
dc.typeArticle

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