Open AccessNumerical 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 andb. lagos
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