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News of the Kabardin-Balkar scientific center of RAS, 2014, Issue 5, Pages 17–27
(Mi izkab383)
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MATHEMATICS. MATHEMATIC MODELING
Convergence of difference schemes
for the diffusion equation in porous media with
structures having fractal geometry
M. H. Shhanukov-Lafisheva, A. R. Bechelovab, Z. V. Beshtokovab
a Institute of Computer Science and Problems of Regional Management of KBSC of the Russian Academy of Sciences,
360000, KBR, Nalchik, 37-a, I. Armand street
b Kabardin-Balkar State University named after H. M. Berbekov,
360004, KBR, Nalchik, 173, Chernyshevsky street
Abstract:
In this paper a priori estimate , which implies the convergence of a solution of the problem to the solution of the differential problem in the uniform metric with speed $O(h^2+\tau)$ is acquired by the method of
stationary perturbations.
Keywords:
differential equation of diffusion, existence and uniqueness, a priori estimate, unique solvability and convergence.
Received: 02.06.2014
Citation:
M. H. Shhanukov-Lafishev, A. R. Bechelova, Z. V. Beshtokova, “Convergence of difference schemes
for the diffusion equation in porous media with
structures having fractal geometry”, News of the Kabardin-Balkar scientific center of RAS, 2014, no. 5, 17–27
Linking options:
https://www.mathnet.ru/eng/izkab383 https://www.mathnet.ru/eng/izkab/y2014/i5/p17
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| Abstract page: | 60 | | Full-text PDF : | 25 | | References: | 13 |
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