Robust Numerical Technique for a Class of Singularly Perturbed Nonlinear System of n-Differential Equations With Robin Boundary Conditions

In this article, a class of nonlinear singularly perturbed system of n-differential equations with Robin boundary conditions of unperturbed type is considered. The numerical method considered in this work consists of the classical finite difference operator over a piecewise uniform Shishkin mesh together with a continuation algorithm. The method suggested in this paper is proved to be essentially first-order convergent uniformly with respect to all perturbation parameters. Numerical experiments are carried out for Robin boundary conditions with and without perturbation parameters.