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Dr. Ahmed Said Abdelaziz Hendy :: Publications:

Title:
On a class of non-linear delay distributed order fractional diffusion equations
Authors: V.G. Pimenov, A.S. Hendy, R.H. De Staelen
Year: 2017
Keywords: Not Available
Journal: Journal of Computational and Applied Mathematics journal
Volume: Not Available
Issue: Not Available
Pages: Not Available
Publisher: Not Available
Local/International: International
Paper Link: Not Available
Full paper Ahmed Said Abdelaziz Hendy_hendy (3).pdf
Supplementary materials Not Available
Abstract:

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 solvabil- ity, 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 + (∆α)4 + h4) in L∞-norm is the main purpose of this study. Numerical experiments are carried out to support the obtained theoretical results.

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