The transfer of the boundary condition from the infinity for the numerical solution to the second order equations with a~small parameter
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 2 (1999) no. 1, pp. 21-35

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The ordinary second order differential equations with a small parameter effecting the higher derivative on the semi-infinite interval are considered. The method of the transition of that problem to the finite interval is proposed. To solve the auxiliary Cauchy problem the asymptotic method is used.
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     author = {A. I. Zadorin},
     title = {The transfer of the boundary condition from the infinity for the numerical solution to the second order equations with a~small parameter},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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A. I. Zadorin. The transfer of the boundary condition from the infinity for the numerical solution to the second order equations with a~small parameter. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 2 (1999) no. 1, pp. 21-35. http://geodesic.mathdoc.fr/item/SJVM_1999_2_1_a2/