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In this paper an initial value problem for a system of two singularly perturbed first order differential equations with different perturbation parameters and Robin initial conditions is considered on the interval (0,1]. A numerical method composed of a classical finite difference scheme on a piecewise uniform Shishkin mesh is suggested. This method is proved to be first order convergent in the maximum norm uniformly in the perturbation parameters. A numerical illustration is provided to support the theory.

malaya journal of matematik

A parameter uniform convergence for a system of two singularly perturbed initial value problems with different perturbation parameters and Robin initial conditions