A class of singularly perturbed semilinear differential equations with interior layers

@article{Farrell2005ACO,
  title={A class of singularly perturbed semilinear differential equations with interior layers},
  author={Paul A. Farrell and Eugene O'Riordan and Grigorii I. Shishkin},
  journal={Math. Comput.},
  year={2005},
  volume={74},
  pages={1759-1776}
}
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… CONTINUE READING