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A system of singularly perturbed reaction-diffusion equations

J.L. Gracia, F.J. Lisbona

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Abstract

In this paper systems of singularly perturbed reaction-diffusion equations are examined. A numerical method is constructed for these systems which involves an appropriate piecewise-uniform mesh. The numerical approximations generated from this method are shown to be uniformly convergent with respect to the singular perturbation pa-rameters. 1

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In this paper systems of singularly perturbed reaction-diffusion equations are examined. A numerical method is constructed for these systems which involves an appropriate piecewise-uniform mesh. The numerical approximations generated from this method are shown to be uniformly convergent with respect to the singular perturbation pa-rameters. 1

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Available abstract

In this paper systems of singularly perturbed reaction-diffusion equations are examined. A numerical method is constructed for these systems which involves an appropriate piecewise-uniform mesh. The numerical approximations generated from this method are shown to be uniformly convergent with respect to the singular perturbation pa-rameters. 1

Key concepts: Singular perturbation, Reaction–diffusion system, Mathematics, Method of matched asymptotic expansions, Piecewise, Mathematical analysis, Perturbation (astronomy), Numerical analysis

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