Farrell, PA; Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI

2004

April

Journal Of Computational And Applied Mathematics

Singularly perturbed convection-diffusion problems with boundary and weak interior layers

Published

()

singular perturbation convection-diffusion parameter-uniform interior payer

166

1

133

151

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. (C) 2003 Elsevier BY. All rights reserved.

0377-0427

10.1016/j.cam.2003.09.033