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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
On a class of non-linear delay distributed order fractional diffusion equations
Journal of Computational and Applied Mathematics, Volume 318, Year 2017
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Description
In this paper, we consider a numerical scheme for a class of non-linear time delay fractional diffusion equations with distributed order in time. This study covers the unique solvability, convergence and stability of the resulted numerical solution by means of the discrete energy method. The derivation of a linearized difference scheme with convergence order O(τ+(Δα)4+h4) in L∞-norm is the main purpose of this study. Numerical experiments are carried out to support the obtained theoretical results. © 2016 Elsevier B.V.
Authors & Co-Authors
Pimenov, Vladimir G.
Russian Federation, Yekaterinburg
Ural Branch, Russian Academy of Sciences
Russian Federation, Yekaterinburg
Uralʹskiĭ Federalʹnyĭ Universitet
Hendy, Ahmed Saied
Russian Federation, Yekaterinburg
Uralʹskiĭ Federalʹnyĭ Universitet
De Staelen, Rob H.
Belgium, Ghent
Universiteit Gent
Statistics
Citations: 52
Authors: 3
Affiliations: 3
Identifiers
Doi:
10.1016/j.cam.2016.02.039
ISSN:
03770427