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dc.contributor.authorErsoy Hepson, Özlemen_US
dc.contributor.authorKorkmaz, Alperen_US
dc.contributor.authorDağ, İdirisen_US
dc.date.accessioned2020-10-23T11:09:56Z
dc.date.available2020-10-23T11:09:56Z
dc.date.issued2019
dc.identifier.citationErsoy Hepson, Ö., Korkmaz, A. & Dağ, İ. (2019). Extended B-spline collocation method for KDV-Burgers equation. TWMS Journal of Applied and Engineering Mathematics, 9(2), 267-278.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2715
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/101-vol9no2/406
dc.description.abstractThe extended form of the classical polynomial cubic B-spline function is used to set up a collocation method for some initial boundary value problems derived for the Korteweg-de Vries-Burgers equation. Having nonexistence of third order derivatives of the cubic B-splines forces us to reduce the order of the term uᵪᵪᵪ to give a coupled system of equations. The space discretization of this system is accomplished by the collocation method following the time discretization with Crank-Nicolson method. Two initial boundary value problems, one having analytical solution and the other is set up with a non analytical initial condition, have been simulated by the proposed method.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_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.subjectKdV-Burgers Equationen_US
dc.subjectExtended cubic B-splineen_US
dc.subjectCollocationen_US
dc.subjectMotion of wavesen_US
dc.subjectNumerical-solutionen_US
dc.subjectWave solutionsen_US
dc.subjectExpliciten_US
dc.titleExtended B-spline collocation method for KDV-Burgers equationen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal of Applied and Engineering Mathematicsen_US
dc.identifier.volume9
dc.identifier.issue2
dc.identifier.startpage267
dc.identifier.endpage278
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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