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An Accurate Approximate-Analytical Technique for Solving Time-Fractional Partial Differential Equations

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dc.contributor.author Bishehniasar, M.
dc.contributor.author Salahshour, S.
dc.contributor.author Ahmadian, Ali
dc.contributor.author İsmail, F.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2019-12-18T12:03:33Z
dc.date.available 2019-12-18T12:03:33Z
dc.date.issued 2017
dc.identifier.citation Bishehniasar, M...et al. (2017). An Accurate Approximate-Analytical Technique for Solving Time-Fractional Partial Differential Equations, Complexity. tr_TR
dc.identifier.issn 1076-2787
dc.identifier.uri http://hdl.handle.net/20.500.12416/2181
dc.description.abstract The demand of many scientific areas for the usage of fractional partial differential equations (FPDEs) to explain their real-world systems has been broadly identified. The solutions may portray dynamical behaviors of various particles such as chemicals and cells. The desire of obtaining approximate solutions to treat these equations aims to overcome the mathematical complexity of modeling the relevant phenomena in nature. This research proposes a promising approximate-analytical scheme that is an accurate technique for solving a variety of noninteger partial differential equations (PDEs). The proposed strategy is based on approximating the derivative of fractional-order and reducing the problem to the corresponding partial differential equation (PDE). Afterwards, the approximating PDE is solved by using a separation-variables technique. The method can be simply applied to nonhomogeneous problems and is proficient to diminish the span of computational cost as well as achieving an approximate-analytical solution that is in excellent concurrence with the exact solution of the original problem. In addition and to demonstrate the efficiency of the method, it compares with two finite difference methods including a nonstandard finite difference (NSFD) method and standard finite difference (SFD) technique, which are popular in the literature for solving engineering problems. tr_TR
dc.language.iso eng tr_TR
dc.publisher Wiley-Hindawi tr_TR
dc.relation.isversionof 10.1155/2017/8718209 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Anomalous Subdiffusion Equation tr_TR
dc.subject Finite-Element-Method tr_TR
dc.subject Numerical-Method tr_TR
dc.subject Tau Method tr_TR
dc.subject Separation tr_TR
dc.subject Simulations tr_TR
dc.subject Order tr_TR
dc.subject Model tr_TR
dc.subject Term tr_TR
dc.title An Accurate Approximate-Analytical Technique for Solving Time-Fractional Partial Differential Equations tr_TR
dc.type article tr_TR
dc.relation.journal Complexity tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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