FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1996, VOLUME 2, NUMBER 4, PAGES 1187-1194

Using of asymptotic representations for constructing numerical algorithms of singularly perturbed boundary value problems solving

B. I. Berezin
N. Yu. Petuhova

Abstract

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For singular perturbed boundary problems for ordinary differential equations numerical solving method is suggested. This method is based on numerical approximation of coefficients of asymptotic representation differential equations solution. These problems are solved in cases linear equation with rotation point and without it, with noncontinuous function in right side of equation and for quasilinear ordinary differential equations.

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