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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, 2018 Issue 5, Pages 44–49 (Mi izkab61)

COMPUTER SCIENCE. CALCULATION EQUIPMENT. MANAGEMENT

On usage of the loaded equations in modeling of filtrational anomalies

L. I. Serbina

SBEIHE "Stavropol State Pedagogical Institute", 355029, Stavropol, Lenin St., 417 A

Abstract: As part of the development of mathematical methods modeling of nonlinear features of groundwater dynamics in porous media with a complex structure of the pore space the problem of approximation of the nonlinear evolution equation of filtration by the loaded equation is studied, taking into account the relationship between the geometric and dynamic characteristics of the natural system.

Keywords: nonlinear equation, approximation, fractal structure, loaded equation, nonlocal condition, boundary value problem.

UDC: 517.958

Received: 11.09.2018



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