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

Title
Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations
Type
Article in International Scientific Journal
Year
2019
Authors
M. A. Abdelkawy
(Author)
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António M. Lopes
(Author)
FEUP
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M. A. Zaky
(Author)
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Journal
Vol. 38 No. 2
Pages: 1-21
ISSN: 1807-0302
Publisher: Springer Nature
Other information
Authenticus ID: P-00Q-EDF
Abstract (EN): 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.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 21
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