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 |
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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 |