Abstract
In this paper a singularly perturbed convection-diffusion equation with a discontinuous source term is examined. Boundary and weak interior layers appear in the solution. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform mesh. The method is shown to be uniformly convergent with respect to the singular perturbation parameter.
Original language | English |
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Pages (from-to) | 133-151 |
Number of pages | 19 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 166 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Apr 2004 |
Keywords
- Convection-diffusion
- Interior payer
- Parameter-uniform
- Singular perturbation