A lumped Galerkin method for solving the Burgers equation

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dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridKutluay, Selçuk/0000-0001-9610-504X
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidKutluay, Selçuk/AAA-3586-2021
dc.contributor.authorKutluay, S
dc.contributor.authorEsen, A
dc.date.accessioned2024-08-04T20:15:06Z
dc.date.available2024-08-04T20:15:06Z
dc.date.issued2004
dc.departmentİnönü Üniversitesien_US
dc.description.abstractA numerical solution of the one-dimensional Burgers equation is obtained using a lumped Galerkin method with quadratic B-spline finite elements. The scheme is implemented to solve a set of test problems with known exact solutions. Results are compared with published numerical and exact solutions. The proposed scheme performs well. A linear stability analysis shows the scheme to be unconditionally stable.en_US
dc.identifier.doi10.1080/00207160412331286833
dc.identifier.endpage1444en_US
dc.identifier.issn0020-7160
dc.identifier.issue11en_US
dc.identifier.scopus2-s2.0-28244440463en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1433en_US
dc.identifier.urihttps://doi.org/10.1080/00207160412331286833
dc.identifier.urihttps://hdl.handle.net/11616/94171
dc.identifier.volume81en_US
dc.identifier.wosWOS:000224978200013en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofInternational Journal of Computer Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectthe Burgers equationen_US
dc.subjectlumped Galerkin methoden_US
dc.subjectquadratic B-splinesen_US
dc.titleA lumped Galerkin method for solving the Burgers equationen_US
dc.typeArticleen_US

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