2020•International Journal of Engineering Science and TechnologyOpen access

Numerical treatment of singularly perturbed delay reaction-diffusion equations

Gashu Gadisa Kiltu, Gemechis File Duressa, Tesfaye Aga Bullo

Abstract

This paper presents a uniform convergent numerical method for solving singularly perturbed delay reaction-diffusion equations. The stability and convergence analysis are investigated. Numerical results are tabulated and the effect of the layer on the solution is examined. In a nutshell, the present method improves the findings of some existing numerical methods reported in the literature. Keywords: Singularly perturbed, Time delay, Reaction-diffusion equation, Layer

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Key concepts: Reaction–diffusion system, Convergence (economics), Diffusion, Numerical analysis, Method of matched asymptotic expansions, Numerical stability, Mathematics, Stability (learning theory)