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Article
A Class of Singularly Perturbed Semilinear Differential Equations with Interior Layers
Mathematics of Computation
  • Paul A Farrell, Kent State University - Kent Campus
  • Eugene O'Riordan, Dublin City University
  • Grigori I Shishkin, Russian Academy of Sciences
Publication Date
1-1-2005
Document Type
Article
Disciplines
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.

Citation Information
Paul A Farrell, Eugene O'Riordan and Grigori I Shishkin. "A Class of Singularly Perturbed Semilinear Differential Equations with Interior Layers" Mathematics of Computation Vol. 74 Iss. 252 (2005) p. 1759 - 1776
Available at: http://works.bepress.com/paul_farrell/3/