Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem (Q1590691)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem |
scientific article; zbMATH DE number 1547933
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem |
scientific article; zbMATH DE number 1547933 |
Statements
Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem (English)
0 references
19 June 2001
0 references
An error estimation is derived for two first order upwind discretizations of a model inhomogeneous, second-order, singularly perturbed boundary value problem on a non-uniform grid. A decomposition of the analytical solution into smooth and singular components is introduced, the upwind finite difference discretizations is described, and the generation of non-uniform grids by equidistribution of a positive monitor function is suggested. Numerical results confirm that the derived error estimate is sharp.
0 references
convergence
0 references
boundary value problems
0 references
singular perturbation
0 references
error estimation
0 references
finite difference discretizations
0 references
numerical results
0 references
