Petrov-Galerkin method with cubic B-splines for solving the MEW equation

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dc.authoridKarakoc, Seydi Battal Gazi/0000-0002-2348-4170
dc.authorwosidKarakoc, Seydi/ABH-7571-2020
dc.authorwosidKarakoc, Seydi Battal Gazi/AFB-6984-2022
dc.contributor.authorGeyikli, Turabi
dc.contributor.authorKarakoc, S. Battal Gazi
dc.date.accessioned2024-08-04T20:36:00Z
dc.date.available2024-08-04T20:36:00Z
dc.date.issued2012
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn the present paper, we introduce a numerical solution algorithm based on a Petrov-Galerkin method in which the element shape functions are cubic B-splines and the weight functions quadratic B-splines. The motion of a single solitary wave and interaction of two solitary waves are studied. Accuracy and efficiency of the proposed method are discussed by computing the numerical conserved laws and L-2, L-infinity error norms. The obtained results show that the present method is a remarkably successful numerical technique for solving the modified equal width wave(MEW) equation. A linear stability analysis of the scheme shows that it is unconditionally stable.en_US
dc.identifier.doi10.36045/bbms/1337864268
dc.identifier.endpage227en_US
dc.identifier.issn1370-1444
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84862877826en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage215en_US
dc.identifier.urihttps://doi.org/10.36045/bbms/1337864268
dc.identifier.urihttps://hdl.handle.net/11616/95700
dc.identifier.volume19en_US
dc.identifier.wosWOS:000305873600002en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherBelgian Mathematical Soc Triompheen_US
dc.relation.ispartofBulletin of The Belgian Mathematical Society-Simon Stevinen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectPetrov-Galerkin methoden_US
dc.subjectModified equal width wave (MEW) equationen_US
dc.subjectSplinesen_US
dc.subjectSolitary wavesen_US
dc.titlePetrov-Galerkin method with cubic B-splines for solving the MEW equationen_US
dc.typeArticleen_US

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