Article ID Journal Published Year Pages File Type
9506657 Applied Mathematics and Computation 2005 11 Pages PDF
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
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