### Solution to Optimum Gas Well Operation Problem for Developing Countries

#### Abstract

*The objective of the proposed research is the analysis of the resource problem in the development of gas generation - one of the urgent tasks for both Azerbaijan and Bangladesh; the subject of research is a numerical solution of the problem of optimum management of gas wells. The solution to the problem is based on the approximation of a partial differential equation by systems 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 bottomhole pressure within certain limits is based on the results of theoretical and experimental studies. This study presents an approach to solving the energy problem, which is especially relevant for developing countries.*

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