| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4644970 | Applied Numerical Mathematics | 2015 | 9 Pages |
Abstract
A two-grid method for the elliptic equation with a small parameter ε multiplying the highest derivative is investigated. The difference schemes with the property of ε-uniform convergence on a uniform mesh and on Shishkin mesh are considered. In both cases, a two-grid method for resolving the difference scheme is investigated. A two-grid method has features that are concerned with a uniform convergence of a difference scheme. To increase the accuracy, the Richardson extrapolation in two-grid method is applied. Numerical results are discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
A.I. Zadorin, S.V. Tikhovskaya, N.A. Zadorin,