Статья 'О чувствительности потока частиц к вариациям коэффициента диффузии' - журнал 'Кибернетика и программирование' - NotaBene.ru
по
Journal Menu
> Issues > Rubrics > About journal > Authors > About the Journal > Requirements for publication > Council of Editors > Peer-review process > Policy of publication. Aims & Scope. > Article retraction > Ethics > Online First Pre-Publication > Copyright & Licensing Policy > Digital archiving policy > Open Access Policy > Open access publishing costs > Article Identification Policy > Plagiarism check policy
Journals in science databases
About the Journal

Публикация за 72 часа - теперь это реальность!
При необходимости издательство предоставляет авторам услугу сверхсрочной полноценной публикации. Уже через 72 часа статья появляется в числе опубликованных на сайте издательства с DOI и номерами страниц.
По первому требованию предоставляем все подтверждающие публикацию документы!
MAIN PAGE > Back to contents
Cybernetics and programming
Reference:

On the sensitivity of particle flow to diffusion coefficient variations

Litvinov Vladimir Andreevich

PhD in Physics and Mathematics

Docent, the department of Informatics and Special Technology, Barnaul Law Institute of the Ministry of Internal Affairs of Russia

656038, Russia, Altaiskii krai, g. Barnaul, ul. Chkalova, 49

lva201011@yandex.ru
Другие публикации этого автора
 

 

DOI:

10.25136/2644-5522.2019.4.29297

Review date:

21-03-2019


Publish date:

15-12-2019


Abstract: The subject of the study is the sensitivity of the experimentally observed characteristics of the particle and radiation flow to variations in the parameters of the model of interaction of particles with the medium. The object of study is the diffusion flow of particles propagating in an unlimited medium. The author considers the variations in particle flux due to changes in the diffusion coefficient both over time and at different points in space. It is emphasized that the expressions obtained in this work can be considered as a statement of the inverse problem in the form of integral equations of the first kind. The research method is variational analysis and numerical experiment. The justification of the method is based on a comparison of the results of calculations by the proposed method and those obtained by the numerical diffusion equation by the difference method. The main conclusions of the study are the expressions for the function of the sensitivity of the diffusion flux to functional variations of the diffusion coefficient. The novelty of the study lies in the formulation of the inverse problem of determining the functional form of the coefficients of the diffusion equation (thermal conductivity) through the function of the sensitivity of the particle flux to variations of the desired parameters.


Keywords: interpolation, variations, differential equations, inverse problem, sensitivity, thermal conductivity, diffusion, numerical methods, green's function, functional
This article written in Russian. You can find full text of article in Russian here .

References
1.
Matsevityi Yu.M. Obratnye zadachi teploprovodnosti. V 2 t.– Kiev: Naukova dumka, 2002.
2.
Yaparova N.M. Metod resheniya obratnoi zadachi identifikatsii funk-tsii istochnika s ispol'zovaniem preobrazovanii Laplasa // Vestnik YuUrGU. Seriya: Vychislitel'naya matematika i informatika, 2016, T.5, №3. – S.20–35. DOI: 10.14525/cmse160302.
3.
Dmitriev O.S., Mishchenko S.V., Seregin A.Yu. Pryamaya i obratnaya zadachi teploprovodnosti i diffuzii v protsesse pressovaniya drevesnostruzhechnykh plit Vestnik TGTU, 2003, t.9, №2. – S. 243–251.
4.
Litvinov B.A., Uchaikin B.B. Variatsii tsennosti v probleme izucheniya shirokikh atmosfernykh livnei. Pyk. dep. v BINITI, 1985, № 7l50-B. Annotatsiya: Izvestiya vuzov. Fizika. 1986. T. 29. № 2. S. 128.
5.
Litvinov B.A., Uchaikin B.B. Metod funktsional'nykh proizvodnykh v probleme chuvstvitel'nosti ShAL.– Pyk. Dep. v VINITI 1986, № 8907-B86. Annotatsiya: Izvestiya vuzov. Fizika, 1986. T. 29. № 12. S. 96.
6.
Tikhonov A.N. O reshenii nekorrektno postavlennykh zadach i metode regulyarizatsii // Dokl. AN SSSR, 1963, t.151, №3. – C. 501–504.
7.
Uchaikin V.V., Litvinov V.A. Variatsionnyi metod interpolirovaniya v teorii perenosa izluchenii // Optika atmosfery i okeana, 1989, №2. – S. 36–40.
8.
Litvinov V.A. Variatsionnoe interpolirovanie v probleme chuvstvi-tel'nosti kharakteristik kaskadnykh protsessov // Yadernaya fizika, 1993, t.56, №2. – S.244–254.
Link to this article

You can simply select and copy link from below text field.


Other our sites:
Official Website of NOTA BENE / Aurora Group s.r.o.
"History Illustrated" Website