Publication Title

Mathematics of Computation

Publication Date

2005

Document Type

Article

Disciplines

Computer Sciences

Abstract

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.

Comments

First published in Mathematics of Computation in 2005, published by the American Mathematical Society.


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