Numerical approximation to a solution of the modified regularized long wave equation using quintic B-splines

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dc.authoridUÇAR, Yusuf/0000-0003-1469-5002
dc.authoridKarakoc, Seydi Battal Gazi/0000-0002-2348-4170
dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254;
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.authorwosidKarakoc, Seydi Battal Gazi/AFB-6984-2022
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.authorwosidKarakoc, Seydi/ABH-7571-2020
dc.contributor.authorKarakoc, Seydi Battal Gazi
dc.contributor.authorYagmurlu, Nuri Murat
dc.contributor.authorUcar, Yusuf
dc.date.accessioned2024-08-04T20:37:56Z
dc.date.available2024-08-04T20:37:56Z
dc.date.issued2013
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this work, a numerical solution of the modified regularized long wave (MRLW) equation is obtained by the method based on collocation of quintic B-splines over the finite elements. A linear stability analysis shows that the numerical scheme based on Von Neumann approximation theory is unconditionally stable. Test problems including the solitary wave motion, the interaction of two and three solitary waves and the Maxwellian initial condition are solved to validate the proposed method by calculating error norms and that are found to be marginally accurate and efficient. The three invariants of the motion have been calculated to determine the conservation properties of the scheme. The obtained results are compared with other earlier results. MSC: 97N40, 65N30, 65D07, 76B25, 74S05.en_US
dc.identifier.doi10.1186/1687-2770-2013-27
dc.identifier.issn1687-2770
dc.identifier.scopus2-s2.0-84888065588en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1186/1687-2770-2013-27
dc.identifier.urihttps://hdl.handle.net/11616/96280
dc.identifier.wosWOS:000325254000001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeropenen_US
dc.relation.ispartofBoundary Value Problemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMRLW equationen_US
dc.subjectcollocationen_US
dc.subjectfinite element methoden_US
dc.subjectB-splineen_US
dc.subjectsolitary wavesen_US
dc.titleNumerical approximation to a solution of the modified regularized long wave equation using quintic B-splinesen_US
dc.typeArticleen_US

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