Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2018, Volume 21, Number 1, Pages 55–63
DOI: https://doi.org/10.15372/SJNM20180104 (Mi sjvm668) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Recovery of the time-dependent diffusion coefficient by known non-local data

S. I. Kabanikhinabc, M. A. Shishleninabc

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev av., Novosibirsk, 630090, Russia
b Sobolev Institute of Mathematics SB RAS, 4 Acad. Koptyug av., Novosibirsk, 630090, Russia
c Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia
Full-text PDF (1000 kB) Citations (24)
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DOI: https://doi.org/10.15372/SJNM20180104
Abstract: The inverse problem of recovering the leading time-dependent coefficient by the known non-local additional information is investigated. For an approximate solution of the nonlinear inverse problems we propose the gradient method of minimizing the target functional. The comparative analysis with the method based on the linearized approximation scheme with respect to time is made. The results of the numerical calculations are presented.
Key words: parabolic equation, time-dependent coefficient inverse problem, numerical methods, nonlocal condition.
Funding agency Grant number
Russian Foundation for Basic Research 17-51-540004
16-29-15120
16-01-00755
Received: 16.06.2017
Revised: 07.07.2017
English version:
Numerical Analysis and Applications, 2018, Volume 11, Issue 1, Pages 38–44
DOI: https://doi.org/10.1134/S1995423918010056
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: S. I. Kabanikhin, M. A. Shishlenin, “Recovery of the time-dependent diffusion coefficient by known non-local data”, Sib. Zh. Vychisl. Mat., 21:1 (2018), 55–63; Num. Anal. Appl., 11:1 (2018), 38–44
Citation in format AMSBIB
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\pages 55--63
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    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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