A parameter robust numerical method for a system of two singularly perturbed convection-diffusion equations

Authors:
S. Bellew;E. O'Riordan
Affiliations:
Institute of Technology Dundalk, Co., Louth, Ireland;School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland
Venue:
Applied Numerical Mathematics
Year:
2004

Citing 4
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Abstract

In this paper a coupled system of two singularly perturbed convection-diffusion ordinary differential equations is examined. A numerical method is constructed for this system which involves an appropriate piecewise-uniform Shishkin mesh. The numerical approximations are shown to converge to the continuous solutions uniformly with respect to the two singular perturbation parameters. Numerical results are presented which illustrate the theoretical results.