Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623602 | Journal of Mathematical Analysis and Applications | 2006 | 20 Pages |
Abstract
A one-dimensional singularly perturbed problem of mixed type is considered. The domain under consideration is partitioned into two subdomains. In the first subdomain a parabolic reaction–diffusion problem is given and in the second one an elliptic convection–diffusion–reaction problem. The solution is decomposed into regular and singular components. The problem is discretized using an inverse-monotone finite volume method on condensed Shishkin meshes. We establish an almost second-order global pointwise convergence in the space variable, that is uniform with respect to the perturbation parameter.
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