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

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dc.contributor.author Amin, Muhammad
dc.contributor.author Abbas, Muhammad
dc.contributor.author Iqbal, Muhammad Kashif
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2019-12-27T12:17:09Z
dc.date.available 2019-12-27T12:17:09Z
dc.date.issued 2019-05-14
dc.identifier.citation Amin, Muhammad...et al. (2019). "Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations", Advances in Difference Equations. tr_TR
dc.identifier.issn 1687-1847
dc.identifier.uri http://hdl.handle.net/20.500.12416/2325
dc.description.abstract This 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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer Open tr_TR
dc.relation.isversionof 10.1186/s13662-019-2125-1 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Non-Polynomial Quintic Spline tr_TR
dc.subject Backward Euler Method tr_TR
dc.subject Time Fractional Partial Differential Equation tr_TR
dc.subject Caputo Fractional Derivative tr_TR
dc.title Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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