Abstract
A difference scheme with approximation of the first derivative by the central difference ratio is investigated for a singularly perturbed elliptic equation for the second order in the strip [0, 1]×(-∞, ∞) with periodicity conditions in the y variable. It is shown that for the piece-uniform Shishkin net the scheme under investigation converges uniformly with the rate, depending on the node numbers in x and y directions.
| Original language | English |
|---|---|
| Pages (from-to) | 6-9 |
| Number of pages | 4 |
| Journal | Vestnik Moskovskogo Universiteta. Ser. 15 Vychislitel'naya Matematika i Kibernetika |
| Issue number | 2 |
| Publication status | Published - Apr 1997 |