1. Open Access Kent State
  2. A Class of Singularly Perturbed Semilinear Differential Equations with Interior Layers
Author(s)
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.
Format
Article
Publication Date
2005-01-01
Publication Title
Mathematics of Computation
Volume
74
Issue
252
First Page
1759
Last Page
1776
Subject
Community
Department of Computer Science
Comments

First published in Mathematics of Computation in 2005, published by the American Mathematical Society.
Permalink https://oaks.kent.edu/cspubs/11
Farrell, P., O’Riordan, E., & Shishkin, G. (2005). A Class of Singularly Perturbed Semilinear Differential Equations with Interior Layers. Mathematics of Computation. https://oaks.kent.edu/node/1324
Farrell, Paul, Eugene O’Riordan, and Grigori Shishkin. 2005. “A Class of Singularly Perturbed Semilinear Differential Equations With Interior Layers”. Mathematics of Computation. https://oaks.kent.edu/node/1324.
Farrell, P., E. O’Riordan, and G. Shishkin. A Class of Singularly Perturbed Semilinear Differential Equations With Interior Layers. Mathematics of Computation, 1 Jan. 2005, https://oaks.kent.edu/node/1324.