Article ID Journal Published Year Pages File Type
4623602 Journal of Mathematical Analysis and Applications 2006 20 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis