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

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 al...

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Bibliographic Details
Published in:	Computational & applied mathematics Vol. 38; no. 2; pp. 1 - 21
Main Authors:	Abdelkawy, M. A., Lopes, António M., Zaky, M. A.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.06.2019 Springer Nature B.V
Subjects:	Algorithms Applications of Mathematics Applied physics Collocation methods Computational mathematics Computational Mathematics and Numerical Analysis Mathematical Applications in Computer Science Mathematical Applications in the Physical Sciences Mathematics Mathematics and Statistics Reaction-diffusion equations Distributed order fractional reaction–diffusion equation 65M70 74S25 26A33 Spectral collocation method 35R11 Caputo fractional derivative
ISSN:	2238-3603, 1807-0302
Online Access:	Get full text
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