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Extended cubic B-splines in the numerical solution of time fractional telegraph equation

dc.contributor.authorAkram, Tayyaba
dc.contributor.authorAbbas, Muhammad
dc.contributor.authorİsmail, Ahmad İzani
dc.contributor.authorAli, Norhashidah Hj M.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-25T13:13:12Z
dc.date.available2019-12-25T13:13:12Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.abstractA finite difference scheme based on extended cubic B-spline method for the solution of time fractional telegraph equation is presented and discussed. The Caputo fractional formula is used in the discretization of the time fractional derivative. A combination of the Caputo fractional derivative together with an extended cubic B-spline is utilized to obtain the computed solutions. The proposed scheme is shown to possess the unconditional stability property with second order convergence. Numerical results demonstrate the applicability, simplicity and the strength of the scheme in solving the time fractional telegraph equation with accuracies very close to the exact solutions.en_US
dc.description.publishedMonth8
dc.identifier.citationAkram, Tayyaba...et al. (2019). "Extended cubic B-splines in the numerical solution of time fractional telegraph equation", Advances in Difference Equations, Vol. 2019, No. 1.en_US
dc.identifier.doi10.1186/s13662-019-2296-9
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2294
dc.identifier.volume2019en_US
dc.language.isoenen_US
dc.publisherSpringer Openen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTime Fractional Telegraph Equationen_US
dc.subjectExtended Cubic B-Spline Basis Functionsen_US
dc.subjectCollocation Methoden_US
dc.subjectCaputo's Fractional Derivativeen_US
dc.subjectStability Analysisen_US
dc.subjectConvergenceen_US
dc.titleExtended cubic B-splines in the numerical solution of time fractional telegraph equationtr_TR
dc.titleExtended Cubic B-Splines in the Numerical Solution of Time Fractional Telegraph Equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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