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Journal of Computational and Engineering Mathematics, 2022, Volume 9, Issue 2, Pages 39–51
DOI: https://doi.org/10.14529/jcem220204 (Mi jcem214) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Computational Mathematics

Numerical algorithm for finding a solution to a nonlinear filtration mathematical model with a random Showalter–Sidorov initial condition

K. V. Perevozchikovaa, N. A. Manakovaa, O. V. Gavrilovaa, I. M. Manakovb

a South Ural State University, Chelyabinsk, Russian Federation
b ITMO University, Saint Petersburg, Russian Federation
Full-text PDF (564 kB) Citations (1)
DOI: https://doi.org/10.14529/jcem220204
Abstract: The article is devoted to the study of a nonlinear model of fluid filtration based on the stochastic Oskolkov equation. It is assumed that the experimental initial data is affected by "noise", which leads to the study of a stochastic model with the Nelson–Glicklich derivative. Sufficient conditions for the existence of solutions of the investigated model with the initial Showalter-Sidorov condition are constructed. An algorithm for the numerical solution method is constructed and a computational experiment is presented.
Keywords: Sobolev type equations, stochastic model of nonlinear filtration, Nelson–Glicklich derivative.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FENU-2020-0022 (2020072GZ)
Acknowledgments. This work was supported by a grant from the Ministry of Education and Science of the Russian Federation FENU-2020-0022 (2020072GZ).
Received: 15.03.2022
Bibliographic databases:
Document Type: Article
UDC: 517.9+681.2.08
Language: English
Citation: K. V. Perevozchikova, N. A. Manakova, O. V. Gavrilova, I. M. Manakov, “Numerical algorithm for finding a solution to a nonlinear filtration mathematical model with a random Showalter–Sidorov initial condition”, J. Comp. Eng. Math., 9:2 (2022), 39–51
Citation in format AMSBIB
\Bibitem{PerManGav22}
\by K.~V.~Perevozchikova, N.~A.~Manakova, O.~V.~Gavrilova, I.~M.~Manakov
\paper Numerical algorithm for finding a solution to a nonlinear filtration mathematical model with a random Showalter--Sidorov initial condition
\jour J. Comp. Eng. Math.
\yr 2022
\vol 9
\issue 2
\pages 39--51
\mathnet{http://mi.mathnet.ru/jcem214}
\crossref{https://doi.org/10.14529/jcem220204}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3670938}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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