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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 6, Pages 891–911
DOI: https://doi.org/10.31857/S0044466922060060 (Mi zvmmf11404) 		 
Ordinary differential equations

Asymptotics of the solution of a Tikhonov system of equations with a multizone boundary layer

M. V. Butuzova

Faculty of Physics, Lomonosov Moscow State University
DOI: https://doi.org/10.31857/S0044466922060060
Abstract: For a system of two Tikhonov-type equations containing different powers of a small parameter at the derivative in both equations, the asymptotics of the boundary-layer solution of the initial problem in the case of a double root of the degenerate system is constructed and substantiated. The character of the asymptotics and an algorithm for constructing it differ significantly from the classical case of a simple root of the degenerate system. The boundary layer turns out to be multizone.
Key words: singularly perturbed system of Tikhonov-type equations, case of a multiple root of a degenerate system, multizone boundary layer.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00424
This work was supported by the Russian Foundation for Basic Research (project no. 18-01-00424).
Received: 12.12.2020
Revised: 29.12.2021
Accepted: 11.02.2022
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 6, Pages 863–883
DOI: https://doi.org/10.1134/S0965542522060069
Bibliographic databases:
Document Type: Article
UDC: 519.622.2
Language: Russian
Citation: M. V. Butuzova, “Asymptotics of the solution of a Tikhonov system of equations with a multizone boundary layer”, Zh. Vychisl. Mat. Mat. Fiz., 62:6 (2022), 891–911; Comput. Math. Math. Phys., 62:6 (2022), 863–883
Citation in format AMSBIB
\Bibitem{But22}
\by M.~V.~Butuzova
\paper Asymptotics of the solution of a Tikhonov system of equations with a multizone boundary layer
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 6
\pages 891--911
\mathnet{http://mi.mathnet.ru/zvmmf11404}
\crossref{https://doi.org/10.31857/S0044466922060060}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4452820}
\elib{https://elibrary.ru/item.asp?id=48506069}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 6
\pages 863--883
\crossref{https://doi.org/10.1134/S0965542522060069}
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