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AN ALMOST-SECOND-ORDER METHOD FOR A SYSTEM OF SINGULARLY PERTURBED CONVECTION–DIFFUSION EQUATIONS WITH NONSMOOTH CONVECTION COEFFICIENTS AND SOURCE TERMS.
- Source :
- International Journal of Computational Methods; Jun2010, Vol. 7 Issue 2, p261-277, 17p, 4 Charts, 4 Graphs
- Publication Year :
- 2010
-
Abstract
- In this paper, a weakly coupled system of two singularly perturbed convection–diffusion equations with discontinuous convection coefficients and source terms with Dirichlet type boundary conditions is considered. A hybrid finite difference scheme on a Shishkin mesh generating almost-second-order convergence in the maximum norm is constructed for solving this problem. To illustrate the theoretical results, numerical experiments are performed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02198762
- Volume :
- 7
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- International Journal of Computational Methods
- Publication Type :
- Academic Journal
- Accession number :
- 51151203
- Full Text :
- https://doi.org/10.1142/S0219876210002167