This article examines the mathematical modeling of the dynamic process of reservoir filtration systems described by nonlinear partial differential equations and a numerical algorithm for their implementation, as well as the quasi-linearization of the nonlinear discrete model of the process under...
Actual problems of Mathematics, Physics and Mecanics / 2026 / May
A generalized principal component method algorithm has been developed to identify the most informative features of multi-parameter control objects. The role of the matrix of residual connections in qualitative factor analysis has been studied....
Actual problems in modern technical sciences / 2024 / September
The article considers the applied task of managing learning processes, using an example University. A mathematical model of the problem is developed using the principle of a systematic approach to control theory and elements of set theory. A computational algorithm for solving the problem is...
Actual problems in modern technical sciences / 2020 / June
The article considers the hydrodynamic problem of the theory of filtration, immiscible phases, gas and water, the existing applied value in the development of oil and gas fields. An a priori estimate of the solutions in the class of generalized functions is obtained....
Actual problems in modern technical sciences / 2020 / June