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The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations

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dc.contributor.author Kheirkhah, Farnaz
dc.contributor.author Hajipour, Mojtaba
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-05-14T08:06:23Z
dc.date.available 2024-05-14T08:06:23Z
dc.date.issued 2022-08
dc.identifier.citation Kheirkhah, Farnaz; Hajipour, Mojtaba; Baleanu, D. (2022). "The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations", Applied Numerical Mathematics, Vol.178, pp.25-40. tr_TR
dc.identifier.issn 01689274
dc.identifier.uri http://hdl.handle.net/20.500.12416/8311
dc.description.abstract This paper is concerned with a highly accurate numerical scheme for a class of one- and two-dimensional time-fractional advection-reaction-subdiffusion equations of variable-order α(x,t)∈(0,1). For the spatial and temporal discretization of the equation, a fourth-order compact finite difference operator and a third-order weighted-shifted Grünwald formula are applied, respectively. The stability and convergence of the present scheme are addressed. Some extensive numerical experiments are performed to confirm the theoretical analysis and high-accuracy of this novel scheme. Comparisons are also made with the available schemes in the literature. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.apnum.2022.03.016 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Compact Finite Difference tr_TR
dc.subject Grünwald Formula tr_TR
dc.subject Reaction-Subdiffusion Problem tr_TR
dc.subject Variable-Order Time-Fractional Derivative tr_TR
dc.title The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations tr_TR
dc.type article tr_TR
dc.relation.journal Applied Numerical Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 178 tr_TR
dc.identifier.startpage 25 tr_TR
dc.identifier.endpage 40 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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