On the uniform in a small parameter convergence of a difference scheme for an elliptic problem in a strip

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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 languageEnglish
Pages (from-to)6-9
Number of pages4
JournalVestnik Moskovskogo Universiteta. Ser. 15 Vychislitel'naya Matematika i Kibernetika
Issue number2
Publication statusPublished - Apr 1997

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