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Sibirskii Zhurnal Industrial'noi Matematiki, 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
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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.
Received: 30.01.2004
Revised: 11.05.2005
English version:
Journal of Applied and Industrial Mathematics, 2007, Volume 1, Issue 3, Pages 320–327
DOI: https://doi.org/10.1134/S1990478907030076
Bibliographic databases:
UDC: 519.62
Language: Russian
Citation: O. V. Kharina, “A numerical method for a system of equations with a small parameter and a point source on an infinite interval”, Sib. Zh. Ind. Mat., 8:4 (2005), 149–157; J. Appl. Industr. Math., 1:3 (2007), 320–327
Citation in format AMSBIB
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\by O.~V.~Kharina
\paper A numerical method for a~system of equations with a~small parameter and a~point source on an infinite interval
\jour Sib. Zh. Ind. Mat.
\yr 2005
\vol 8
\issue 4
\pages 149--157
\mathnet{http://mi.mathnet.ru/sjim282}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2213916}
\zmath{https://zbmath.org/?q=an:1101.65081}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 3
\pages 320--327
\crossref{https://doi.org/10.1134/S1990478907030076}
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    		Сибирский журнал индустриальной математики
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