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JOURNALS // News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences // Archive

News of the Kabardin-Balkar scientific center of RAS, 2012 Issue 6, Pages 5–13 (Mi izkab570)

MATHEMATICS. MATHEMATIC MODELING

About one non - local border problem for equation of moisture transfer

M. KH. Beshtokov

Kabardin-Balkar State University named after H.M. Berbekov, 360004, KBR, Nalchik, 173, Chernyshevsky street

Abstract: In this work a non-local border problem for the equation of moisture transportation is considered. Aprioristic estimations in differential and incremental treatments are received for the solution of non-local border problem. Uniqueness, stability of the decision of a problem, and also convergence of the decision of the difference problems to the decision of a differential problem follow from the estimations obtained.

Keywords: regional problems, non local condition, equation of moisture transfer, aprioristic estimation, difference scheme, stability and convergence of difference schemes, pseudo-parabolic equation.

UDC: 519.635

Received: 22.06.2012



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