A Galerkin finite element approach to Burgers' equation

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dc.contributor.authorDogan A.
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2004
dc.departmentNiğde ÖHÜ
dc.description.abstractA Galerkin finite element method is presented for the numerical solution of Burgers' equation. A linear recurrence relationship for the numerical solution of the resulting system of ordinary differential equations is found via a Crank-Nicolson approach involving a product approximation. It is shown that this method is capable of solving Burgers' equation accurately for a wide range of viscosity values. The results show that the new method performs better than the most of the methods available in the literature. © 2003 Elsevier Inc. All rights reserved.
dc.description.sponsorshipAuthor gratefully acknowledges a grant in scope of the NATO Science Fellowship Programme by the Scientific and Technical Research Council of Turkey (TUBITAK).
dc.identifier.doi10.1016/j.amc.2003.08.037
dc.identifier.endpage346
dc.identifier.issn0096-3003
dc.identifier.issue2
dc.identifier.scopus2-s2.0-4444378330
dc.identifier.scopusqualityQ1
dc.identifier.startpage331
dc.identifier.urihttps://dx.doi.org/10.1016/j.amc.2003.08.037
dc.identifier.urihttps://hdl.handle.net/11480/1305
dc.identifier.volume157
dc.identifier.wosWOS:000224276900004
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorDogan A.
dc.language.isoen
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectBurgers' equation
dc.subjectFinite element methods
dc.subjectGalerkin
dc.titleA Galerkin finite element approach to Burgers' equation
dc.typeArticle

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