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Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction–diffusion equations

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This paper proposes a new method for solving distributed order time-fractional reaction–diffusion equations (DO-TFRDEs). Extended versions of the shifted Jacobi–Gauss–Lobatto and shifted fractional order Jacobi–Gauss–Radau collocation methods are developed for… Click to show full abstract

This paper proposes a new method for solving distributed order time-fractional reaction–diffusion equations (DO-TFRDEs). Extended versions of the shifted Jacobi–Gauss–Lobatto and shifted fractional order Jacobi–Gauss–Radau collocation methods are developed for reducing the DO-TFRDEs to systems of algebraic equations and computing their approximate solutions. The applicability and accuracy of the method is illustrated through numerical examples.

Keywords: order; time fractional; distributed order; fractional reaction; order time; solving distributed

Journal Title: Computational and Applied Mathematics
Year Published: 2019

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