APPLICATION OF ASYMPTOTIC EXPANSIONS FOR NUMERICAL SOLUTION OF PROBLEM OF EQUILIBRIUM OF TWO-COMPONENT HYDRAULIC SYSTEM
Gaziev Eskender Linurovich
Crimea Engineering-Pedagogical University
Abstract. The article deals with the problem of the small movements of the gas-liquid system with account of gravitational and surface forces. The author shows the corresponding initial-boundary value problem and boundary value problem describing equilibrium state. The paper proposes an approximate method for deducing the equilibrium surface of liquid taking into account the peculiarity of the boundary condition of the problem. The obtained numerical results are discussed.
Key words and phrases: дифференциальное уравнение, задача Коши, краевая задача, вычислительный метод, асимптотическое разложение, гидросистема, differential equation, Cauchy problem, boundary problem, computational method, asymptotic expansion, hydraulic system
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Русский
