Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9506657 | Applied Mathematics and Computation | 2005 | 11 Pages |
Abstract
A singularly perturbed convection diffusion problem with a discontinuous convection coefficient is considered. Due to the discontinuity an interior layer appears in the solution. The problem is solved using a hybrid difference scheme on a Shishkin mesh. We prove that the method is almost second-order convergent in the maximum norm, independently of the diffusion parameter. Numerical experiments support these theoretical results and indicate that the estimates are sharp.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhongdi Cen,