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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EDP Sciences
2021
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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) |
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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 |
work_keys_str_mv |
AT tverdyidmitryi applicationofthericcatihereditarymathematicalmodeltothestudyofthedynamicsofradonaccumulationinthestoragechamber AT parovikroman applicationofthericcatihereditarymathematicalmodeltothestudyofthedynamicsofradonaccumulationinthestoragechamber AT makarovevgeniy applicationofthericcatihereditarymathematicalmodeltothestudyofthedynamicsofradonaccumulationinthestoragechamber AT firstovpavel applicationofthericcatihereditarymathematicalmodeltothestudyofthedynamicsofradonaccumulationinthestoragechamber AT alimovanazira applicationofthericcatihereditarymathematicalmodeltothestudyofthedynamicsofradonaccumulationinthestoragechamber |
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1718430558416011264 |