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A Fourth Order Non-Polynomial Quintic Spline Collocation Technique for Solving Time Fractional Superdiffusion Equations

dc.contributor.authorAmin, Muhammad
dc.contributor.authorAbbas, Muhammad
dc.contributor.authorIqbal, Muhammad Kashif
dc.contributor.authorIsmail, Ahmad Izani Md.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-04-28T21:03:07Z
dc.date.available2020-04-28T21:03:07Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe purpose of this article is to present a technique for the numerical solution of Caputo time fractional superdiffusion equation. The central difference approximation is used to discretize the time derivative, while non-polynomial quintic spline is employed as an interpolating function in the spatial direction. The proposed method is shown to be unconditionally stable and O(h4+ Δ t2) accurate. In order to check the feasibility of the proposed technique, some test examples have been considered and the simulation results are compared with those available in the existing literature. © 2019, The Author(s).en_US
dc.description.publishedMonth12
dc.identifier.citationAmin, Muhammad...et al. (2019) "A Fourth Order Non-Polynomial Quintic Spline Collocation Technique for Solving Time Fractional Superdiffusion Equations", Advances in Difference Equations, Vol. 2019, No. 1.en_US
dc.identifier.doi10.1186/s13662-019-2442-4
dc.identifier.issn16871839
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/3488
dc.identifier.volume2019en_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCaputo Time Fractional Derivativeen_US
dc.subjectFinite Central Difference Approachen_US
dc.subjectNon-Polynomial Quintic Splineen_US
dc.subjectSuperdiffusion Equationen_US
dc.titleA Fourth Order Non-Polynomial Quintic Spline Collocation Technique for Solving Time Fractional Superdiffusion Equationstr_TR
dc.titleA Fourth Order Non-Polynomial Quintic Spline Collocation Technique for Solving Time Fractional Superdiffusion Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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