In this paper singularly perturbed semilinear differential equations with a discontinuous source term are examined. A numerical method is constructed for these problems which involves an appropriate piecewise-uniform mesh. The method is shown to be uniformly convergent with respect to the singular perturbation parameter. Numerical results are presented that validate the theoretical results.
['Paul A. Farrell', "Eugene O'Riordan", 'Grigorii I. Shishkin']
A class of singularly perturbed semilinear differential equations with interior layers