This article is cited in 23 papers

Difference scheme on a nonuniform grid for a differential equation with small parameter multiplying the highest derivative

G. I. Shishkin

Sverdlovsk

Abstract: For an ordinary differential equation and an equation of parabolic type, with a small parameter in the highest derivative, schemes are constructed, which uniformly converge with respect to the parameter. For the ordinary equation, an algorithm is given for constructing a scheme of high order of accuracy.

UDC: 519.62

Received: 13.06.1981
Revised: 28.06.1982

 English version: USSR Computational Mathematics and Mathematical Physics, 1983, 23:3, 59–66

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