Mathematics of Computation
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.
Farrell, Paul A.; O'Riordan, Eugene; and Shishkin, Grigori I. (2005). A Class of Singularly Perturbed Semilinear Differential Equations with Interior Layers. Mathematics of Computation 74(252), 1759-1776. Retrieved from http://digitalcommons.kent.edu/cspubs/11