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A Numerical Approach of a Time Fractional Reaction-Diffusion Model with a Non-Singular Kernel

dc.contributor.authorAkram, Tayyaba
dc.contributor.authorAbbas, Muhammad
dc.contributor.authorAli, Ajmal
dc.contributor.authorIqbal, Azhar
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-04T12:22:13Z
dc.date.available2022-03-04T12:22:13Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe time-fractional reaction-diffusion (TFRD) model has broad physical perspectives and theoretical interpretation, and its numerical techniques are of significant conceptual and applied importance. A numerical technique is constructed for the solution of the TFRD model with the non-singular kernel. The Caputo-Fabrizio operator is applied for the discretization of time levels while the extended cubic B-spline (ECBS) function is applied for the space direction. The ECBS function preserves geometrical invariability, convex hull and symmetry property. Unconditional stability and convergence analysis are also proved. The projected numerical method is tested on two numerical examples. The theoretical and numerical results demonstrate that the order of convergence of 2 in time and space directions.en_US
dc.description.publishedMonth10
dc.identifier.citationAkram, Tayyaba...et al. (2020). "A Numerical Approach of a Time Fractional Reaction-Diffusion Model with a Non-Singular Kernel", Symmetry-Basel, Vol. 12, No. 10.en_US
dc.identifier.doi10.3390/sym12101653
dc.identifier.issn2073-8994
dc.identifier.issue10en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5072
dc.identifier.volume12en_US
dc.language.isoenen_US
dc.relation.ispartofSymmetry-Baselen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTime Fractional Reaction–Diffusion Modelen_US
dc.subjectB-Spline Basisen_US
dc.subjectCaputo–Fabrizio Derivativeen_US
dc.titleA Numerical Approach of a Time Fractional Reaction-Diffusion Model with a Non-Singular Kerneltr_TR
dc.titleA Numerical Approach of a Time Fractional Reaction-Diffusion Model With a Non-Singular Kernelen_US
dc.typeLetteren_US
dspace.entity.typePublication

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