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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2001, Volume 4, Number 2, Pages 137–150 (Mi sjvm390)  
This article is cited in 1 scientific paper (total in 1 paper)

Crank–Nicolson's scheme with different time-step in subdomains for the solution of parabolic problems

V. I. Drobyshevich, L. N. Katkova

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
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Abstract: A method of constructing difference schemes with different time-step in subdomains based on Crank–Nicolson's scheme is suggested. It is associated with interpolation of the solution on the boundary of subdomains. It is proved that the solution of the difference problem converges in uniform norm to that of differential problem with the order $O(\tau^2+h^2)$.
Received: 29.02.2000
Revised: 06.07.2000
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. I. Drobyshevich, L. N. Katkova, “Crank–Nicolson's scheme with different time-step in subdomains for the solution of parabolic problems”, Sib. Zh. Vychisl. Mat., 4:2 (2001), 137–150
Citation in format AMSBIB
\Bibitem{DroKat01}
\by V.~I.~Drobyshevich, L.~N.~Katkova
\paper Crank--Nicolson's scheme with different time-step in subdomains for the solution of parabolic problems
\jour Sib. Zh. Vychisl. Mat.
\yr 2001
\vol 4
\issue 2
\pages 137--150
\mathnet{http://mi.mathnet.ru/sjvm390}
\zmath{https://zbmath.org/?q=an:0973.65066}
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    • This publication is cited in the following 1 articles:
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