Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642788 | Journal of Computational and Applied Mathematics | 2007 | 13 Pages |
Abstract
The relationship is analyzed between layer-resolving transformations and mesh-generating functions for numerical solution of singularly perturbed boundary-value problems. The analysis is carried out for one-dimensional quasilinear problems without turning points, which are discretized by first-order finite-difference schemes. It is proved that if a general layer-resolving function is used to generate the discretization mesh, then the numerical solution converges uniformly in the perturbation parameter.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Relja Vulanović,