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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Vydané v:	Computational & applied mathematics Ročník 38; číslo 2; s. 1 - 21
Hlavní autori:	Abdelkawy, M. A., Lopes, António M., Zaky, M. A.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 01.06.2019 Springer Nature B.V
Predmet:	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
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Shrnutí:	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.
Bibliografia:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	2238-3603 1807-0302
DOI:	10.1007/s40314-019-0845-1