Numerical treatment of singularly perturbed delay reaction-diffusion equations | Zendy

Gashu Gadisa Kiltu | Zendy; Gemechis File Duressa | Zendy; Tesfaye Aga Bullo | Zendy

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Numerical treatment of singularly perturbed delay reaction-diffusion equations

Author(s) -

Gashu Gadisa Kiltu,

Gemechis File Duressa,

Tesfaye Aga Bullo

Publication year - 2020

Publication title -

international journal of engineering science and technology

Language(s) - English

Resource type - Journals

ISSN - 2141-2839

DOI - 10.4314/ijest.v12i1.2

Subject(s) - reaction–diffusion system , convergence (economics) , diffusion , numerical analysis , method of matched asymptotic expansions , numerical stability , mathematics , stability (learning theory) , diffusion equation , mathematical analysis , computer science , physics , differential equation , thermodynamics , engineering , metric (unit) , operations management , machine learning , economics , economic growth

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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