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

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dc.contributor.authorArshad, Sadia
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorHuang, Jianfei
dc.contributor.authorTang, Yifa
dc.contributor.authorZhao, Yue
dc.contributor.authorID56389tr_TR
dc.contributor.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.date.accessioned2020-03-18T13:48:41Z
dc.date.available2020-03-18T13:48:41Z
dc.date.issued2018-11
dc.description.abstractA 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.identifier.citationArshad, 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.endpage781tr_TR
dc.identifier.issn2079-7362
dc.identifier.issue4tr_TR
dc.identifier.startpage764tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2679
dc.identifier.volume8tr_TR
dc.language.isoengtr_TR
dc.publisherGlobal Science Presstr_TR
dc.relation.isversionof10.4208/eajam.280218.210518tr_TR
dc.relation.journalEast Asian Journal on Applied Mathematicstr_TR
dc.rightsinfo:eu-repo/semantics/closedAccesstr_TR
dc.subjectFractional Diffusion Equationtr_TR
dc.subjectRiesz Derivativetr_TR
dc.subjectHigh-Order Approximationtr_TR
dc.subjectStabilitytr_TR
dc.subjectConvergencetr_TR
dc.titleA Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equationstr_TR
dc.typearticletr_TR

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