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Solving time fractional Burgers' and Fisher's equations using cubic B-spline approximation method

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dc.contributor.author Majeed, Abdul
dc.contributor.author Kamran, Mohsin
dc.contributor.author Iqbal, Muhammad Kashif
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2021-01-28T12:20:44Z
dc.date.available 2021-01-28T12:20:44Z
dc.date.issued 2020-04-23
dc.identifier.citation Majeed, Abdul...et al. (2020) "Solving time fractional Burgers' and Fisher's equations using cubic B-spline approximation method", Advances in Difference Equations, Vol. 2020, No. 1. tr_TR
dc.identifier.issn 1687-1847
dc.identifier.uri http://hdl.handle.net/20.500.12416/4487
dc.description.abstract This article presents a numerical algorithm for solving time fractional Burgers' and Fisher's equations using cubic B-spline finite element method. The L1 formula with Caputo derivative is used to discretized the time fractional derivative, whereas the Crank-Nicolson scheme based on cubic B-spline functions is used to interpolate the solution curve along the spatial grid. The numerical scheme has been implemented on three test problems. The obtained results indicate that the proposed method is a good option for solving nonlinear fractional Burgers' and Fisher's equations. The error norms L2 and L infinity have been calculated to validate the efficiency and accuracy of the presented algorithm. tr_TR
dc.relation.isversionof 10.1186/s13662-020-02619-8 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Cubic B-Spline Collocation Method tr_TR
dc.subject Time Fractional Differential Equation tr_TR
dc.subject Caputo's Fractional Derivative tr_TR
dc.subject Stability and Convergence tr_TR
dc.subject Finite Difference Formulation tr_TR
dc.title Solving time fractional Burgers' and Fisher's equations using cubic B-spline approximation method tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2020 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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