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Numerical determination of a boundary condition near a singularity. (English. Russian original) Zbl 0945.34010

Comput. Math. Math. Phys. 37, No. 5, 529-538 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 5, 543-552 (1997).
A numerical method is proposed that allows for the deviation from a singularity in a singular boundary value problem for a linear system of ordinary differential equations without using analytic expansions for the matrix of the system. Conditions for the convergence are established, and estimates are obtained. The result of numerical experiments are presented.

MSC:

34B16 Singular nonlinear boundary value problems for ordinary differential equations
65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
34A30 Linear ordinary differential equations and systems
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