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

Arshad, Sadia; Baleanu, Dumitru; Huang, Jianfei; Tang, Yifa; Zhao, Yue

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