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Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations

dc.contributor.authorAmin, Muhammad
dc.contributor.authorAbbas, Muhammad
dc.contributor.authorIqbal, Muhammad Kashif
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-27T12:17:09Z
dc.date.available2019-12-27T12:17:09Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.abstractThis paper presents a novel approach to numerical solution of a class of fourth-order time fractional partial differential equations (PDEs). The finite difference formulation has been used for temporal discretization, whereas the space discretization is achieved by means of non-polynomial quintic spline method. The proposed algorithm is proved to be stable and convergent. In order to corroborate this work, some test problems have been considered, and the computational outcomes are compared with those found in the exiting literature. It is revealed that the presented scheme is more accurate as compared to current variants on the topic.en_US
dc.description.publishedMonth5
dc.identifier.citationAmin, Muhammad...et al. (2019). "Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations", Advances in Difference Equations.en_US
dc.identifier.doi10.1186/s13662-019-2125-1
dc.identifier.issn1687-1847
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2325
dc.language.isoenen_US
dc.publisherSpringer Openen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNon-Polynomial Quintic Splineen_US
dc.subjectBackward Euler Methoden_US
dc.subjectTime Fractional Partial Differential Equationen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.titleNon-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equationstr_TR
dc.titleNon-Polynomial Quintic Spline for Numerical Solution of Fourth-Order Time Fractional Partial Differential Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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