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 | |
Publication Date |
2005-01-01
|
Publication Title |
Mathematics of Computation
|
Volume |
74
|
Issue |
252
|
First Page |
1759
|
Last Page |
1776
|
Subject | |
Community | |
Comments | |
Recommended Citation |
Farrell, Paul A; O'Riordan, Eugene; Shishkin, Grigori I (2005). A Class of Singularly Perturbed Semilinear Differential Equations with Interior Layers. Mathematics of Computation 74(252) 1759-1776. Retrieved from https://oaks.kent.edu/cspubs/11
|
First published in Mathematics of Computation in 2005, published by the American Mathematical Society.