Numerical solution of the coupled Burgers equation by trigonometric B-spline collocation method

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dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254
dc.authoridUÇAR, Yusuf/0000-0003-1469-5002;
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.authorwosidYiğit, Mehmet/HLQ-7874-2023
dc.contributor.authorUcar, Yusuf
dc.contributor.authorYagmurlu, Nuri Murat
dc.contributor.authorYigit, Mehmet Kerem
dc.date.accessioned2024-08-04T20:53:12Z
dc.date.available2024-08-04T20:53:12Z
dc.date.issued2023
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn the present study, the coupled Burgers equation is going to be solved numerically by presenting a new technique based on collocation finite element method in which cubic trigonometric and quintic B-splines are used as approximate functions. In order to support the present study, three test problems given with appropriate initial and boundary conditions are going to be investigated. The newly obtained results are compared with some of the other published numerical solutions available in the literature. The accuracy of the proposed method is discussed by computing the error norms L2$$ {L}_2 $$ and L infinity$$ {L}_{\infty } $$. A linear stability analysis of the approximation obtained by the scheme shows that the method is unconditionally stable.en_US
dc.identifier.doi10.1002/mma.8887
dc.identifier.endpage6041en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85142920186en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage6025en_US
dc.identifier.urihttps://doi.org/10.1002/mma.8887
dc.identifier.urihttps://hdl.handle.net/11616/101026
dc.identifier.volume46en_US
dc.identifier.wosWOS:000891506200001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in The Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFinite element methoden_US
dc.subjectcollocation methoden_US
dc.subjectcoupled Burgers' equationen_US
dc.subjecttrigonometric B-splinesen_US
dc.titleNumerical solution of the coupled Burgers equation by trigonometric B-spline collocation methoden_US
dc.typeArticleen_US

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