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dc.contributor.authorAlharbi, Adulghanien_US
dc.date.accessioned2020-11-16T11:21:22Z
dc.date.available2020-11-16T11:21:22Z
dc.date.issued2020
dc.identifier.citationAlharbi, A. (2020). Adaptive moving mesh for solving the korteweg-de vries-burgers equation. TWMS Journal of Applied and Engineering Mathematics, 10(4), 897-908.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2889
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/108-vol10no4/601
dc.description.abstractThis paper presents an adaptive mesh method for solving the Kortewegde Vries-Burgers (KdVB) equation numerically. The r-adaptive mesh method which employs a monitor function and one of the mesh equations (MMPDEs) presented by [11] which uses to concentrate and move the mesh. This technique correctly resolves the various structures seen in these problems. Furthermore, it decreases the computational effort in comparison to the numerical solution using a fixed uniform mesh scheme. Here, the exact solution of the KdVB equation at a fixed time is utilized to compare with that employing an adaptive moving mesh and a uniform mesh. By comparing the relative error for the obtained solutions of the problem, I will check the accuracy of the adaptive method.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectKdVB equationen_US
dc.subjectAdaptive meshen_US
dc.subjectR-adaptive methoden_US
dc.subjectMoving mesh PDEs (MMPDEs)en_US
dc.subjectMonitor functionen_US
dc.subjectFilm flow equationsen_US
dc.subjectWaveen_US
dc.subjectMoving mesh methoden_US
dc.subjectAdaptive meshen_US
dc.subjectStructured grids (Mathematics)en_US
dc.titleAdaptive moving mesh for solving the korteweg-de vries-burgers equationen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume10
dc.identifier.issue4
dc.identifier.startpage897
dc.identifier.endpage908
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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