Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509401 | Journal of Computational and Applied Mathematics | 2005 | 10 Pages |
Abstract
We consider a uniform finite difference method on Shishkin mesh for a quasilinear first-order singularly perturbed boundary value problem (BVP) depending on a parameter. We prove that the method is first-order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. Numerical experiments support these theoretical results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
G.M. Amiraliyev, Hakki Duru,