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Investigation of an approximate solution of the second Painlevé equation. (Russian) Zbl 0692.34010
The equation (1) $$y''=2x^ 3+xy+\alpha$$, $$y(x_ 0)=y_ 0$$, $$y'(x_ 0)=y_ 1$$ is studied. There is given a method for numerical evaluation of singular points of (1).
Reviewer: M.Bartušek

MSC:
 65J99 Numerical analysis in abstract spaces 65L05 Numerical methods for initial value problems