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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Veröffentlicht in:Computational & applied mathematics Jg. 38; H. 2; S. 1 - 21
Hauptverfasser: Abdelkawy, M. A., Lopes, António M., Zaky, M. A.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cham Springer International Publishing 01.06.2019
Springer Nature B.V
Schlagworte:
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-Zugang:Volltext
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Zusammenfassung: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.
Bibliographie: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