| Issue |
E3S Web of Conf.
Volume 389, 2023
Ural Environmental Science Forum “Sustainable Development of Industrial Region” (UESF-2023)
|
|
|---|---|---|
| Article Number | 01015 | |
| Number of page(s) | 9 | |
| Section | Materials Science Innovations, Green Chemistry and Emission Reduction | |
| DOI | https://doi.org/10.1051/e3sconf/202338901015 | |
| Published online | 31 May 2023 | |
A simple way to solve boundary value problems in technological processes
University of World Economy and Diplomacy, 100007, Tashkent, Uzbekistan
* Corresponding author: udalabaev@mail.ru
The paper proposes a simple approximate method for solving differential equations for boundary value problems. A method is proposed for averaging differential equations over a moving volume, which allows obtaining approximate analytical solutions of differential equations. The control volume is the only one in the considered area of the boundary value problem. In this case, the control volume is considered to be moved in the area under consideration. Based on the averaging of boundary value problems over the volume being moved, an algebraic equation is obtained. When averaging over one of the variables (in the case of a two-dimensional problem), ordinary differential equations are obtained. Examples are given.
© The Authors, published by EDP Sciences, 2023
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