mathematical sciences
preprint archive 2003
A class of singularly perturbed semilinear differential equations with interior layers
P. A. Farrell, E. O'Riordan and G. I. Shishkin
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 which validate the theoretical results.
This has appeared as Math. Comp. 74, 1759-1776, 2005.
