A NUMERICAL SOLUTION OF THE MODIFIED REGULARIZED LONG WAVE (MRLW) EQUATION USING QUARTIC B-SPLINES

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dc.authoridBaşhan, Ali/0000-0001-8500-493X
dc.authoridKarakoc, Seydi Battal Gazi/0000-0002-2348-4170
dc.authorwosidKarakoc, Seydi/ABH-7571-2020
dc.authorwosidBaşhan, Ali/R-6644-2018
dc.authorwosidKarakoc, Seydi Battal Gazi/AFB-6984-2022
dc.contributor.authorKarakoc, S. Battal Gazi
dc.contributor.authorGeyikli, Turabi
dc.contributor.authorBashan, Ali
dc.date.accessioned2024-08-04T20:56:20Z
dc.date.available2024-08-04T20:56:20Z
dc.date.issued2013
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, a numerical solution of the modified regularized long wave (MRLW) equation is obtained by subdomain finite element method using quartic B-spline functions. Solitary wave motion, interaction of two and three solitary waves and the development of the Maxwellian initial condition into solitary waves are studied using the proposed method. Accuracy and efficiency of the proposed method are tested by calculating the numerical conserved laws and error norms L-2 and L-infinity. The obtained results show that the method is an effective numerical scheme to solve the MRLW equation. In addition, a linear stability analysis of the scheme is found to be unconditionally stable.en_US
dc.identifier.endpage244en_US
dc.identifier.issn2146-1147
dc.identifier.issue2en_US
dc.identifier.startpage231en_US
dc.identifier.urihttps://hdl.handle.net/11616/102222
dc.identifier.volume3en_US
dc.identifier.wosWOS:000218995000011en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherTurkic World Mathematical Socen_US
dc.relation.ispartofTwms Journal of Applied and Engineering Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMRLW equationen_US
dc.subjectFinite element methoden_US
dc.subjectSubdomainen_US
dc.subjectQuartic B-Splinesen_US
dc.subjectSolitary wavesen_US
dc.titleA NUMERICAL SOLUTION OF THE MODIFIED REGULARIZED LONG WAVE (MRLW) EQUATION USING QUARTIC B-SPLINESen_US
dc.typeArticleen_US

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