Abstract
In this paper an initial value problem for a coupled system of two singularly perturbed first-order delay differential equations is considered on the interval (0,2]. The components of the solution of this system exhibit initial layers at 0 and interior layers at 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.
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