Operator splitting for numerical solution of the modified Burgers' equation using finite element method

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dc.authoridCelikkaya, ihsan/0000-0002-8684-5922
dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254
dc.authoridUÇAR, Yusuf/0000-0003-1469-5002
dc.authorwosidCelikkaya, ihsan/ABB-1186-2020
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.contributor.authorUcar, Yusuf
dc.contributor.authorYagmurlu, Nuri M.
dc.contributor.authorCelikkaya, Ihsan
dc.date.accessioned2024-08-04T20:45:24Z
dc.date.available2024-08-04T20:45:24Z
dc.date.issued2019
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe aim of this study is to obtain numerical behavior of a one-dimensional modified Burgers' equation using cubic B-spline collocation finite element method after splitting the equation with Strang splitting technique. Moreover, the Ext4 and Ext6 methods based on Strang splitting and derived from extrapolation have also been applied to the equation. To observe how good and effective this technique is, we have used the well-known the error norms L-2 and in the literature and compared them with previous studies. In addition, the von Neumann (Fourier series) method has been applied after the nonlinear term has been linearized to investigate the stability of the method.en_US
dc.identifier.doi10.1002/num.22309
dc.identifier.endpage492en_US
dc.identifier.issn0749-159X
dc.identifier.issn1098-2426
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85052810428en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage478en_US
dc.identifier.urihttps://doi.org/10.1002/num.22309
dc.identifier.urihttps://hdl.handle.net/11616/98456
dc.identifier.volume35en_US
dc.identifier.wosWOS:000459619600002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofNumerical Methods For Partial Differential Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectcollocation methoden_US
dc.subjectcubic B-splineen_US
dc.subjectstability analysisen_US
dc.subjectmodified Burgers' equationen_US
dc.subjectfinite element methoden_US
dc.subjectStrang splittingen_US
dc.titleOperator splitting for numerical solution of the modified Burgers' equation using finite element methoden_US
dc.typeArticleen_US

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