Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640315 | Journal of Computational and Applied Mathematics | 2010 | 15 Pages |
Abstract
This paper addresses the numerical approximation of solutions to coupled systems of singularly perturbed reaction–diffusion problems. In particular a hybrid finite difference scheme of HODIE type is constructed on a piecewise uniform Shishkin mesh. It is proved that the numerical scheme satisfies a discrete maximum principle and also that it is third order (except for a logarithmic factor) uniformly convergent, even for the case in which the diffusion parameter associated with each equation of the system has a different order of magnitude. Numerical examples supporting the theory are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
C. Clavero, J.L. Gracia, F.J. Lisbona,