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Media type:
E-Article
Title:
A numerical solution for a class of time fractional diffusion equations with delay
Contributor:
Pimenov, Vladimir G.;
Hendy, Ahmed S.
Published:
University of Zielona Góra, Poland, 2017
Published in:
International Journal of Applied Mathematics and Computer Science, 27 (2017) 3, Seite 477-488
Language:
English
DOI:
10.1515/amcs-2017-0033
ISSN:
2083-8492
Origination:
Footnote:
Description:
Abstract This paper describes a numerical scheme for a class of fractional diffusion equations with fixed time delay. The study focuses on the uniqueness, convergence and stability of the resulting numerical solution by means of the discrete energy method. The derivation of a linearized difference scheme with convergence order O(τ 2−α+ h 4) in L∞-norm is the main purpose of this study. Numerical experiments are carried out to support the obtained theoretical results.