Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber
The article proposes a mathematical model of radon accumulation in a chamber, which takes into account the hereditary properties of the environment in which radon migrates. The model equation is the fractional Riccati equation with a derivative of a fractional variable order of the Gerasimov-Caputo...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2021-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2021/08/epjconf_strpep2021_03001.pdf |
| _version_ | 1819036734333124608 |
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| author | Tverdyi Dmitryi Parovik Roman Makarov Evgeniy Firstov Pavel Alimova Nazira |
| author_facet | Tverdyi Dmitryi Parovik Roman Makarov Evgeniy Firstov Pavel Alimova Nazira |
| author_sort | Tverdyi Dmitryi |
| collection | DOAJ |
| description | The article proposes a mathematical model of radon accumulation in a chamber, which takes into account the hereditary properties of the environment in which radon migrates. The model equation is the fractional Riccati equation with a derivative of a fractional variable order of the Gerasimov-Caputo type, taking into account heredity, as well as taking into account nonlinearity, which is responsible for the mechanisms of radon entry into the chamber. The obtained model curves of the accumulation process are compared with real data. It is shown that the model described in the work gives a better agreement between the model and real curves of radon accumulation and can be used for a more accurate description of the processes occurring in the chamber. |
| first_indexed | 2024-12-21T08:10:14Z |
| format | Article |
| id | doaj.art-6fa2f1382e6448c2966c2263400d70e9 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-21T08:10:14Z |
| publishDate | 2021-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-6fa2f1382e6448c2966c2263400d70e92022-12-21T19:10:41ZengEDP SciencesEPJ Web of Conferences2100-014X2021-01-012540300110.1051/epjconf/202125403001epjconf_strpep2021_03001Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamberTverdyi Dmitryi0Parovik RomanMakarov EvgeniyFirstov Pavel1Alimova Nazira2Vitus Bering Kamchatka State UniversityKamchatka Branch of the Federal State Budgetary Institution of Science of the Federal Research Center “Unified Geophysical Service of the Russian Academy of Sciences”National University of Uzbekistan named after Mirzo UlugbekThe article proposes a mathematical model of radon accumulation in a chamber, which takes into account the hereditary properties of the environment in which radon migrates. The model equation is the fractional Riccati equation with a derivative of a fractional variable order of the Gerasimov-Caputo type, taking into account heredity, as well as taking into account nonlinearity, which is responsible for the mechanisms of radon entry into the chamber. The obtained model curves of the accumulation process are compared with real data. It is shown that the model described in the work gives a better agreement between the model and real curves of radon accumulation and can be used for a more accurate description of the processes occurring in the chamber.https://www.epj-conferences.org/articles/epjconf/pdf/2021/08/epjconf_strpep2021_03001.pdf |
| spellingShingle | Tverdyi Dmitryi Parovik Roman Makarov Evgeniy Firstov Pavel Alimova Nazira Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber EPJ Web of Conferences |
| title | Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber |
| title_full | Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber |
| title_fullStr | Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber |
| title_full_unstemmed | Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber |
| title_short | Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber |
| title_sort | application of the riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2021/08/epjconf_strpep2021_03001.pdf |
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