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Numerical solutions of the fractional Fisher's type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods

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dc.contributor.author Saad, K. M.
dc.contributor.author Khader, M. M.
dc.contributor.author Gomez-Aguilar, J. F.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-02-28T12:18:41Z
dc.date.available 2020-02-28T12:18:41Z
dc.date.issued 2019-02
dc.identifier.citation Saad, K. M...et al. (2019). "Numerical solutions of the fractional Fisher's type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods", Chaos, Vol. 29, No. 2. tr_TR
dc.identifier.issn 1054-1500
dc.identifier.uri http://hdl.handle.net/20.500.12416/2570
dc.description.abstract The main objective of this paper is to investigate an accurate numerical method for solving a biological fractional model via Atangana-Baleanu fractional derivative. We focused our attention on linear and nonlinear Fisher's equations. We use the spectral collocation method based on the Chebyshev approximations. This method reduced the nonlinear equations to a system of ordinary differential equations by using the properties of Chebyshev polynomials and then solved them by using the finite difference method. This is the first time that this method is used to solve nonlinear equations in Atangana-Baleanu sense. We present the effectiveness and accuracy of the proposed method by computing the absolute error and the residual error functions. The results show that the given procedure is an easy and efficient tool to investigate the solution of nonlinear equations with local and non-local singular kernels. tr_TR
dc.language.iso eng tr_TR
dc.publisher Amer Inst Physics tr_TR
dc.relation.isversionof 10.1063/1.5086771 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.title Numerical solutions of the fractional Fisher's type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods tr_TR
dc.type article tr_TR
dc.relation.journal Chaos tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 29 tr_TR
dc.identifier.issue 2 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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