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A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations

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dc.contributor.author Arshad, Sadia
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Huang, Jianfei
dc.contributor.author Tang, Yifa
dc.contributor.author Zhao, Yue
dc.date.accessioned 2020-03-18T13:48:41Z
dc.date.available 2020-03-18T13:48:41Z
dc.date.issued 2018-11
dc.identifier.citation Arshad, Sadia...et al. (2018). "A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations", East Asian Journal on Applied Mathematics, Vol. 8, No. 4, pp. 764-781. tr_TR
dc.identifier.issn 2079-7362
dc.identifier.uri http://hdl.handle.net/20.500.12416/2679
dc.description.abstract A finite difference method for a class of time-space fractional diffusion equations is considered. The trapezoidal formula and a fourth-order fractional compact difference scheme are, respectively, used in temporal and spatial discretisations and the method stability is studied. Theoretical estimates of the convergence in the L-2 -norm are shown to be O(tau(2) + h(4)), where tau and h are time and space mesh sizes. Numerical examples confirm theoretical results. tr_TR
dc.language.iso eng tr_TR
dc.publisher Global Science Press tr_TR
dc.relation.isversionof 10.4208/eajam.280218.210518 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Diffusion Equation tr_TR
dc.subject Riesz Derivative tr_TR
dc.subject High-Order Approximation tr_TR
dc.subject Stability tr_TR
dc.subject Convergence tr_TR
dc.title A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations tr_TR
dc.type article tr_TR
dc.relation.journal East Asian Journal on Applied Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 8 tr_TR
dc.identifier.issue 4 tr_TR
dc.identifier.startpage 764 tr_TR
dc.identifier.endpage 781 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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