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Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations
Journal article   Peer reviewed

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

M. A. Abdelkawy, Antonio M. Lopes and M. A. Zaky
Computational & applied mathematics, Vol.38(2), pp.1-21
01/06/2019
DOI: https://doi.org/10.1007/s40314-019-0845-1

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.

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