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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 6, Pages 975–984
DOI: https://doi.org/10.31857/S0044466920060125 (Mi zvmmf11089) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Asymptotic solution of coefficient inverse problems for Burgers-type equations

V.T. Volkov, N. N. Nefedov

Faculty of Physics, Lomonosov Moscow State University, Moscow, 119991 Russia
Citations (10)
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DOI: https://doi.org/10.31857/S0044466920060125
Abstract: For a singularly perturbed reaction–diffusion–advection equation, called in applications a Burgers-type equation and having a time-periodic solution with an internal transition layer, asymptotic analysis is used to solve some inverse problems of reconstructing model parameters (determining the linear amplification factor and boundary conditions) from known information about the observed solution of the direct problem in a given time interval (period). Numerical experiments demonstrating the efficiency of the approach proposed are conducted.
Key words: singularly perturbed problem, reaction–diffusion–advection equation, internal layer, coefficient inverse problem.
Funding agency Grant number
Russian Science Foundation 18-11-00042
This work was supported by the Russian Science Foundation, grant no. 18-11-00042.
Received: 31.10.2019
Revised: 31.10.2019
Accepted: 11.02.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 6, Pages 950–959
DOI: https://doi.org/10.1134/S0965542520060123
Bibliographic databases:
Document Type: Article
UDC: 517.956.4
Language: Russian
Citation: V.T. Volkov, N. N. Nefedov, “Asymptotic solution of coefficient inverse problems for Burgers-type equations”, Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020), 975–984; Comput. Math. Math. Phys., 60:6 (2020), 950–959
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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