Numerical solution of Burgers' equation by quadratic B-spline finite elements

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dc.authoridKutluay, Selçuk/0000-0001-9610-504X
dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authorwosidKutluay, Selçuk/AAA-3586-2021
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.contributor.authorÖzis, T
dc.contributor.authorEsen, A
dc.contributor.authorKutluay, S
dc.date.accessioned2024-08-04T20:13:51Z
dc.date.available2024-08-04T20:13:51Z
dc.date.issued2005
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, a Galerkin quadratic B-spline finite element method is used to solve numerically the one-dimensional Burgers' equation reduced by the Hopf-Cole transformation. The performance of the method is tested on two model problems involving moderately Reynolds numbers with known exact solutions. The obtained numerical results show that the method is efficient, robust and reliable for solving Burgers' equation accurately even involving high Reynolds numbers for which the exact solution fails. Computed results are compared with other numerical results in the literature. A stability analysis of the method is also investigated. (c) 2004 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.amc.2004.04.101
dc.identifier.endpage249en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-17444383810en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage237en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2004.04.101
dc.identifier.urihttps://hdl.handle.net/11616/93888
dc.identifier.volume165en_US
dc.identifier.wosWOS:000229221400023en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBurgers' equationen_US
dc.subjectGalerkin methoden_US
dc.subjectquadratic B-splinesen_US
dc.titleNumerical solution of Burgers' equation by quadratic B-spline finite elementsen_US
dc.typeArticleen_US

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