Petrov-Galerkin finite element method for solving the MRLW equation

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dc.authoridKarakoc, Seydi Battal Gazi/0000-0002-2348-4170;
dc.authorwosidKarakoc, Seydi Battal Gazi/AFB-6984-2022
dc.authorwosidKarakoc, Seydi/ABH-7571-2020
dc.contributor.authorKarakoc, Seydi Battal Gazi
dc.contributor.authorGeyikli, Turabi
dc.date.accessioned2024-08-04T20:39:58Z
dc.date.available2024-08-04T20:39:58Z
dc.date.issued2013
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this article, a Petrov-Galerkin method, in which the element shape functions are cubic and weight functions are quadratic B-splines, is introduced to solve the modified regularized long wave (MRLW) equation. The solitary wave motion, interaction of two and three solitary waves, and development of the Maxwellian initial condition into solitary waves are studied using the proposed method. Accuracy and efficiency of the method are demonstrated by computing the numerical conserved laws and L-2, L-infinity error norms. The computed results show that the present scheme is a successful numerical technique for solving the MRLW equation. A linear stability analysis based on the Fourier method is also investigated.en_US
dc.identifier.doi10.1186/2251-7456-7-25
dc.identifier.issn2008-1359
dc.identifier.issn2251-7456
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84913581599en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/2251-7456-7-25
dc.identifier.urihttps://hdl.handle.net/11616/96612
dc.identifier.volume7en_US
dc.identifier.wosWOS:000215738700025en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofMathematical 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.subjectPetrov-Galerkinen_US
dc.subjectMRLW equationen_US
dc.subjectSplinesen_US
dc.subjectSolitary wavesen_US
dc.titlePetrov-Galerkin finite element method for solving the MRLW equationen_US
dc.typeArticleen_US

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