Abstract
A singularly perturbed reaction-diffusion problem with two small parameters is considered. Due to these two small parameters boundary layers exist. To resolve the boundary layers a piecewise-uniform Shishkin mesh has been taken and we have shown that the Ritz-Galerkin method has almost second order parameters-uniform convergence. Numerical experiments support these theoretical results.
| Original language | English |
|---|---|
| Pages (from-to) | 287-300 |
| Number of pages | 14 |
| Journal | International Journal of Pure and Applied Mathematics |
| Volume | 55 |
| Issue number | 2 |
| State | Published - 2009 |
| Externally published | Yes |
Keywords
- Boundary value problems
- Reaction-diffusion
- Ritz-Galerkin method
- Shishkin mesh
- Singular perturbation