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Article information
2001 , Volume 6, ¹ 4, p.81-91
Pivovarov Y.V.
Monotonicity conditions of factored difference scheme for an evolutionary equation with two space variables
For a difference scheme with coefficients satisfying certain relations the sufficient conditions of monotonicity have been obtained in the form of a limitations on a time step. Necessary and sufficient monotonicity conditions are obtained for the problem with small number of partitions. The advantages of monotonous scheme over non-monotonous one are shown using calculations.
[full text] Classificator Msc2000:- *65M06 Finite difference methods
- 76M20 Finite difference methods
Keywords: factorized difference scheme, mass transfer, evolution equation, sufficient conditions for monotonicity, necessary conditions for monotonicity, heat transfer
Author(s):
Pivovarov Yuriy Vladimirovich
PhD.
Position: Research Scientist
Office: Institute of Hydrodynamics of SB RAS
Address: 630090, Russia, Novosibirsk, Lavrentyev prospect,15
Phone Office: (383) 333 30 46
E-mail: pivovarov-hydro@mail.ru
Bibliography link:
Pivovarov Y.V. Monotonicity conditions of factored difference scheme for an evolutionary equation with two space variables // Computational technologies. 2001. V. 6. ¹ 4. P. 81-91
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