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Dal'nevostochnyi Matematicheskii Zhurnal, 2010, Volume 10, Number 2, Pages 93–105 (Mi dvmg62)  
This article is cited in 13 scientific papers (total in 13 papers)

Inverse problem of identification of the diffusion coefficient in diffision-reaction equation

I. S. Vakhitov

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (701 kB) Citations (13)
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Abstract: The solvability and uniqueness of inverse extremum problem of identification of the diffusion coefficient in a two-dimensional diffusion-reaction equation are proved. The numerical algorithm of solving the inverse problem is developted and realized. The results of numerical experiments are discussed.
Key words: elliptic equation, identification problem, diffusion coefficient, Newton method, uniqueness.
Received: 08.01.2010
Document Type: Article
UDC: 517.95
MSC: 76D55
Language: Russian
Citation: I. S. Vakhitov, “Inverse problem of identification of the diffusion coefficient in diffision-reaction equation”, Dal'nevost. Mat. Zh., 10:2 (2010), 93–105
Citation in format AMSBIB
\Bibitem{Vak10}
\by I.~S.~Vakhitov
\paper Inverse problem of identification of the diffusion coefficient in diffision-reaction equation
\jour Dal'nevost. Mat. Zh.
\yr 2010
\vol 10
\issue 2
\pages 93--105
\mathnet{http://mi.mathnet.ru/dvmg62}
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  • https://www.mathnet.ru/eng/dvmg/v10/i2/p93
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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