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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 9, Pages 1622–1628
(Mi zvmmf4754)
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This article is cited in 1 scientific paper (total in 1 paper)
Economic difference scheme for a parabolic equation with a mixed spatial derivative
L. F. Yukhno Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia
Abstract:
A modification of a well-known locally one-dimensional method for a parabolic equation is proposed. The method remains economic even if the equation involves a mixed derivative with respect to spatial variables. A model case study of the method is presented. Numerical results are given that demonstrate the efficiency of the method.
Key words:
parabolic equation, economic difference scheme, stability.
Received: 24.02.2009
Citation:
L. F. Yukhno, “Economic difference scheme for a parabolic equation with a mixed spatial derivative”, Zh. Vychisl. Mat. Mat. Fiz., 49:9 (2009), 1622–1628; Comput. Math. Math. Phys., 49:9 (2009), 1547–1553
Linking options:
https://www.mathnet.ru/eng/zvmmf4754 https://www.mathnet.ru/eng/zvmmf/v49/i9/p1622
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