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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2005 Volume 8, Number 4, Pages 149–157 (Mi sjim282)

A numerical method for a system of equations with a small parameter and a point source on an infinite interval

O. V. Kharina

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science

Abstract: A method for solving a boundary-value problem on an infinite interval is considered for a linear system of second-order ordinary differential equations with a small parameter at the highest derivatives and a point source. The question is addressed of reduction of this problem to a finite interval. A mesh, condensing in the boundary layer, is used for numerical solution of a system of singularly perturbed equations on a finite interval.

UDC: 519.62

Received: 30.01.2004
Revised: 11.05.2005


 English version:
Journal of Applied and Industrial Mathematics, 2007, 1:3, 320–327

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© Steklov Math. Inst. of RAS, 2026