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...

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Autores principales: Tverdyi Dmitryi, Parovik Roman, Makarov Evgeniy, Firstov Pavel, Alimova Nazira
Formato: article
Lenguaje:EN
Publicado: EDP Sciences 2021
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Acceso en línea:https://doaj.org/article/6fa2f1382e6448c2966c2263400d70e9
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spelling oai:doaj.org-article:6fa2f1382e6448c2966c2263400d70e92021-11-12T11:44:52ZApplication of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber2100-014X10.1051/epjconf/202125403001https://doaj.org/article/6fa2f1382e6448c2966c2263400d70e92021-01-01T00:00:00Zhttps://www.epj-conferences.org/articles/epjconf/pdf/2021/08/epjconf_strpep2021_03001.pdfhttps://doaj.org/toc/2100-014XThe 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.Tverdyi DmitryiParovik RomanMakarov EvgeniyFirstov PavelAlimova NaziraEDP SciencesarticlePhysicsQC1-999ENEPJ Web of Conferences, Vol 254, p 03001 (2021)
institution DOAJ
collection DOAJ
language EN
topic Physics
QC1-999
spellingShingle Physics
QC1-999
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
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.
format article
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
title 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_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_sort application of the riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber
publisher EDP Sciences
publishDate 2021
url https://doaj.org/article/6fa2f1382e6448c2966c2263400d70e9
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AT firstovpavel applicationofthericcatihereditarymathematicalmodeltothestudyofthedynamicsofradonaccumulationinthestoragechamber
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