ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, vol.54, no.4, pp.249-264, 2020 (SCI-Expanded)
The article is devoted to the numerical solution of the problem of optimum managing gas well operation modes. The solution to the problem is based on the approximation of a partial differential equation by a system of ordinary differential equations. Particular attention is paid to the numerical solution of the optimal control problem associated with these systems based on the Pontryagin's maximum principle. To solve the problem, a linearization method and implicit finite difference schemes for solving a nonlinear equation are proposed. The calculation of technological modes of wells operation by adjusting the bottom-hole pressure within certain limits is based on the results of theoretical and experimental studies.