Taylor-Galerkin method for advection-diffusion equation

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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.accessioned2019-07-29T19:27:51Z
dc.date.available13.07.201910:50:10
dc.date.available2019-07-29T19:27:51Z
dc.date.issued2011
dc.departmentFen-Edebiyat Fakültesi
dc.description.abstractPurpose - The purpose of this paper is to provide numerical solutions of the time-dependent advection-diffusion problem by using B-spline finite element methods in which Taylor series expansion is used for the related time discretization. Design/methodology/approach - The solution domain is partitioned into uniform mesh. The collocation and the Galerkin methods where B-spline functions are used as base functions are applied to advection-diffusion equation. Findings - Given methods are unconditionally stable and the obtained results are comparable with some earlier studies in terms of accuracy. Originality/value - Quadratic and cubic B-spline base functions are used with Taylor series expansion for the discretization of the equation.
dc.identifier.doi10.1108/03684921111142304
dc.identifier.endpage777en_US
dc.identifier.issn0368-492X
dc.identifier.issue5en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage762en_US
dc.identifier.urihttps://doi.org/10.1108/03684921111142304
dc.identifier.urihttps://hdl.handle.net/20.500.12451/5943
dc.identifier.volume40en_US
dc.identifier.wosWOS:000294884200010
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherEmerand Group Publishing
dc.relation.ispartofKybernetes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCybernetics
dc.subjectDiffusion
dc.subjectPolynomials
dc.titleTaylor-Galerkin method for advection-diffusion equation
dc.typeArticle

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