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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2015, Volume 15, Issue 4, Pages 35–42
DOI: https://doi.org/10.17377/PAM.2015.15.404
(Mi vngu383)
 

This article is cited in 6 scientific papers (total in 6 papers)

Numerical solution of the combined inverse problem for generalized Burgers equation

Kh. M. Gamzaev

Azerbaijan State Oil Academy
Full-text PDF (169 kB) Citations (6)
References:
Abstract: We considered inverse problem for restoration of source and the boundary regime for generalized Burgers equation with additional nonlocal condition. This problem belongs to class of combined inverse problems. This problem can be transformed via integrating into inverse boundary problem with local conditions. We built a difference analogue of the differential problem in the form of an implicit difference scheme and non iterative computational algorithm for solution of obtained system of the difference equations. We conducted numerical experiments on the basis of the proposed method.
Keywords: generalized Burgers equation, combined inverse problem, restoration of source and the boundary regime, unlocal condition, difference problem.
Received: 01.09.2015
English version:
Journal of Mathematical Sciences, 2017, Volume 221, Issue 6, Pages 833–839
DOI: https://doi.org/10.1007/s10958-017-3271-1
Document Type: Article
UDC: 532.546: 519.6
Language: Russian
Citation: Kh. M. Gamzaev, “Numerical solution of the combined inverse problem for generalized Burgers equation”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:4 (2015), 35–42; J. Math. Sci., 221:6 (2017), 833–839
Citation in format AMSBIB
\Bibitem{Gam15}
\by Kh.~M.~Gamzaev
\paper Numerical solution of the combined inverse problem for generalized Burgers equation
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2015
\vol 15
\issue 4
\pages 35--42
\mathnet{http://mi.mathnet.ru/vngu383}
\crossref{https://doi.org/10.17377/PAM.2015.15.404}
\transl
\jour J. Math. Sci.
\yr 2017
\vol 221
\issue 6
\pages 833--839
\crossref{https://doi.org/10.1007/s10958-017-3271-1}
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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    Abstract page:188
    Full-text PDF :73
    References:38
    First page:5
     
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