A simple way to solve boundary value problems in technological processes
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2023-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/26/e3sconf_uesf2023_01015.pdf |
| _version_ | 1797807978707943424 |
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| author | Dalabaev Umurdin Rasulov Abdujabbar Umarova Shoira |
| author_facet | Dalabaev Umurdin Rasulov Abdujabbar Umarova Shoira |
| author_sort | Dalabaev Umurdin |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-13T06:30:43Z |
| format | Article |
| id | doaj.art-3e32c38ee9994486ad058427940e63bf |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-03-13T06:30:43Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-3e32c38ee9994486ad058427940e63bf2023-06-09T09:07:30ZengEDP SciencesE3S Web of Conferences2267-12422023-01-013890101510.1051/e3sconf/202338901015e3sconf_uesf2023_01015A simple way to solve boundary value problems in technological processesDalabaev Umurdin0Rasulov Abdujabbar1Umarova Shoira2University of World Economy and DiplomacyUniversity of World Economy and DiplomacyUniversity of World Economy and DiplomacyThe 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.https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/26/e3sconf_uesf2023_01015.pdf |
| spellingShingle | Dalabaev Umurdin Rasulov Abdujabbar Umarova Shoira A simple way to solve boundary value problems in technological processes E3S Web of Conferences |
| title | A simple way to solve boundary value problems in technological processes |
| title_full | A simple way to solve boundary value problems in technological processes |
| title_fullStr | A simple way to solve boundary value problems in technological processes |
| title_full_unstemmed | A simple way to solve boundary value problems in technological processes |
| title_short | A simple way to solve boundary value problems in technological processes |
| title_sort | simple way to solve boundary value problems in technological processes |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/26/e3sconf_uesf2023_01015.pdf |
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