Convergence and stability of compact finite difference method for nonlinear time fractional reaction–diffusion equations with delay

Lili Li, Boya Zhou, Xiaoli Chen and Zhiyong Wang

Applied Mathematics and Computation, 2018, vol. 337, issue C, 144-152

Abstract: This paper is concerned with numerical solutions of nonlinear time fractional reaction–diffusion equations with time delay. A linearized compact finite difference scheme is proposed to solve the equations. In terms of a new developed fractional Gronwall type inequality, convergence and stability of the proposed scheme are obtained. Numerical experiments are given to illustrate the theoretical results.

Keywords: Nonlinear time fractional reaction–diffusion equations with delay; Fractional Gronwall type inequality; Stability; Convergence; Linearized numerical scheme (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:337:y:2018:i:c:p:144-152

DOI: 10.1016/j.amc.2018.04.057

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