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Paper details
Number 3 - September 2017
Volume 27 - 2017
A numerical solution for a class of time fractional diffusion equations with delay
Vladimir G. Pimenov, Ahmed S. Hendy
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 + h4) in L ∞-norm is the main
purpose of this study. Numerical experiments are carried out to support the obtained theoretical results.
Keywords
fractional diffusion equation with delay, difference scheme, convergence analysis