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 Sib. Zh. Vychisl. Mat., 1998, Volume 1, Number 3, Pages 249–260 (Mi sjvm306)

Numerical solution of the equation with a small parameter and a point source on the infinite interval

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

Abstract: The second order equation with a small parameter effecting a higher derivative and a point source on the infinite interval is considered. The question of the trasformation of the boundary conditions to the finite interval is investigated. The difference scheme for the problem on the finite interval is constructed. The uniform convergence of the difference scheme is proved.

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Bibliographic databases:
UDC: 519.632
Revised: 11.02.1998

Citation: A. I. Zadorin, “Numerical solution of the equation with a small parameter and a point source on the infinite interval”, Sib. Zh. Vychisl. Mat., 1:3 (1998), 249–260

Citation in format AMSBIB
\Bibitem{Zad98} \by A.~I.~Zadorin \paper Numerical solution of the equation with a~small parameter and a~point source on the infinite interval \jour Sib. Zh. Vychisl. Mat. \yr 1998 \vol 1 \issue 3 \pages 249--260 \mathnet{http://mi.mathnet.ru/sjvm306} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1699456} \zmath{https://zbmath.org/?q=an:0916.65086}