Numerical Approximation of the Combined KdV-mKdV Equation via the Quintic B-Spline Differential Quadrature Method

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dc.authorscopusid55653611400
dc.authorscopusid55580992800
dc.authorscopusid56131715500
dc.contributor.authorYağmurlu N.M.
dc.contributor.authorUçar Y.
dc.contributor.authorBaşhan A.
dc.date.accessioned2024-08-04T20:03:32Z
dc.date.available2024-08-04T20:03:32Z
dc.date.issued2019
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, quintic B-spline differential quadrature method (QBDQM) has been used to obtain the numerical approximation of the combined Korteweg-de Vries and modified Korteweg-de Vries equation (combined KdV-mKdV). The efficiency and effectiveness of the proposed method has been tested by computing the maximum error norm L? and discrete root mean square error L2 . The newly found numerical approximations have been compared to available numerical approximations and this comparison has shown that the proposed method is an efficient one for solving the combined KdV-mKdV equation. We have also carried out a stability analysis. © 2019, Adiyaman University. All rights reserved.en_US
dc.identifier.doi10.37094/adyujsci.526264
dc.identifier.endpage403en_US
dc.identifier.issn2147-1630
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85093536844en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage386en_US
dc.identifier.trdizinid430140en_US
dc.identifier.urihttps://doi.org/10.37094/adyujsci.526264
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/430140
dc.identifier.urihttps://hdl.handle.net/11616/91905
dc.identifier.volume9en_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherAdiyaman Universityen_US
dc.relation.ispartofAdiyaman University Journal of Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCombined KdV-mKdV equationen_US
dc.subjectDifferential quadrature methoden_US
dc.subjectPartial differential equationsen_US
dc.subjectQuintic B-Splinesen_US
dc.subjectStrong stability-preserving Runge-Kutta methoden_US
dc.titleNumerical Approximation of the Combined KdV-mKdV Equation via the Quintic B-Spline Differential Quadrature Methoden_US
dc.title.alternativeKombine KdV-mKdV Denkleminin Kuintik B-Splayn Diferansiyel Kuadratür Yöntemiyle Sayısal Yaklaşımlaren_US
dc.typeArticleen_US

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