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On a class of non-linear delay distributed order fractional diffusion equations
Journal of Computational and Applied Mathematics journal • 2017
Publication Information
Authors
V.G. Pimenov, A.S. Hendy, R.H. De Staelen
Keywords
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Journal
Journal of Computational and Applied Mathematics journal
Publisher
Not Available
Volume
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Issue
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Pages
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publication.type
International
Paper Link
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Supplementary Materials
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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.