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dc.contributor.authorKaraağaç, Beraten_US
dc.date.accessioned2020-10-20T09:42:16Z
dc.date.available2020-10-20T09:42:16Z
dc.date.issued2019
dc.identifier.citationKaraağaç, B. (2019). A numerical approach to Caudrey Dodd Gibbon equation via collocation method using quintic b-spline basis. TWMS Journal of Applied and Engineering Mathematics, 9(1), 1-8.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.issnSI
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2686
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/100-vol9no1/372
dc.descriptionSelected papers of International Conference on Life and Engineering Sciences (ICOLES 2018), Kyrenia, 2-6 September, Cyprus, 2018.en_US
dc.description.abstractIn this manuscript, a numerical approach is investigated to Caudrey-DoddGibbon (CDG) equation. The nonlinear CDG equation is reduced to a system of partial differential equation using uxxx = v. The new numerical solutions are obtained with a combination of collocation method with finite element method which is one of the most important methods among all numerical approaches. In order to proceed the method, solution for each unknown is written as a linear combination of time parameters and quintic B-spline basis. Then, with the advantage of the collocation method, a system of algebraic equation systems is formulated easily. Solving the system iteratively by a method results in numerical solutions of the CDG equation. The numerical solutions together with the error norms L₂, L∞ are tabulated. Additionally, graphical simulations of the solutions are depicted by figures.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.subjectFinite element methoden_US
dc.subjectCollocationen_US
dc.subjectQuintic B-spline basisen_US
dc.subjectCaudrey-Dodd-Gibbon equationen_US
dc.subjectSolitonen_US
dc.titleA numerical approach to Caudrey Dodd Gibbon equation via collocation method using quintic b-spline basisen_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.issue1
dc.identifier.startpage1
dc.identifier.endpage8
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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