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Meshfree numerical integration for some challenging multi-term fractional order PDEs

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dc.contributor.author Samad, Abdul
dc.contributor.author Siddique, Imran
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2024-04-25T07:31:42Z
dc.date.available 2024-04-25T07:31:42Z
dc.date.issued 2022
dc.identifier.citation Samad, Abdul; Siddique, Imran; Jarad, Fahd. (2022). "Meshfree numerical integration for some challenging multi-term fractional order PDEs", AIMS Mathematics, Vol.7, No.8, pp.14249-14269. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/7925
dc.description.abstract Fractional partial differential equations (PDEs) have key role in many physical, chemical, biological and economic problems. Different numerical techniques have been adopted to deal the multi-term FPDEs. In this article, the meshfree numerical scheme, Radial basis function (RBF) is discussed for some time-space fractional PDEs. The meshfree RBF method base on the Gaussian function and is used to test the numerical results of the time-space fractional PDE problems. Riesz fractional derivative and Grünwald-Letnikov fractional derivative techniques are used to deal the space fractional derivative terms while the time-fractional derivatives are iterated by Caputo derivative method. The accuracy of the suggested scheme is analyzed by using L∞-norm. Stability and convergence analysis are also discussed. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 0.3934/math.2022785 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo And Gru¨Nwald-Letnikov Derivatives tr_TR
dc.subject Multi-Term Fractional Derivatives tr_TR
dc.subject Radial Basis Function Method tr_TR
dc.title Meshfree numerical integration for some challenging multi-term fractional order PDEs tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 8 tr_TR
dc.identifier.startpage 14249 tr_TR
dc.identifier.endpage 14269 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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