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Sibirskii Zhurnal Industrial'noi Matematiki, 2005, Volume 8, Number 4, Pages 149–157
(Mi sjim282)
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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.
Received: 30.01.2004 Revised: 11.05.2005
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
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https://www.mathnet.ru/eng/sjim282 https://www.mathnet.ru/eng/sjim/v8/i4/p149
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Abstract page: | 242 | Full-text PDF : | 101 | References: | 34 |
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