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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2010, Volume 13, Number 1, Pages 101–109 (Mi sjvm271)  
This article is cited in 1 scientific paper (total in 1 paper)

Features of description of physical processes in fractal spaces

O. N. Khatuntseva

S. P. Korolev Rocket and Space Corporation "Energia", Korolev, Moscow region
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Abstract: This paper offers a method of description of physical processes that take place in fractal spaces with the use of differential equations. The latter describe similar processes in the Euclidean spaces, introducing an additional coordinate that specifies the point-wise scale of fractal partitioning at each point.
Key words: fractal, fractional dimension, scaling.
Received: 18.03.2009
Revised: 20.04.2009
English version:
Numerical Analysis and Applications, 2010, Volume 3, Issue 1, Pages 82–89
DOI: https://doi.org/10.1134/S199542391001009X
Bibliographic databases:
Document Type: Article
UDC: 530.1
Language: Russian
Citation: O. N. Khatuntseva, “Features of description of physical processes in fractal spaces”, Sib. Zh. Vychisl. Mat., 13:1 (2010), 101–109; Num. Anal. Appl., 3:1 (2010), 82–89
Citation in format AMSBIB
\Bibitem{Kha10}
\by O.~N.~Khatuntseva
\paper Features of description of physical processes in fractal spaces
\jour Sib. Zh. Vychisl. Mat.
\yr 2010
\vol 13
\issue 1
\pages 101--109
\mathnet{http://mi.mathnet.ru/sjvm271}
\transl
\jour Num. Anal. Appl.
\yr 2010
\vol 3
\issue 1
\pages 82--89
\crossref{https://doi.org/10.1134/S199542391001009X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952129577}
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  • https://www.mathnet.ru/eng/sjvm271
  • https://www.mathnet.ru/eng/sjvm/v13/i1/p101
    • This publication is cited in the following 1 articles:
    1. O. N. Khatuntseva, “Method for description of heat transfer processes in fractal systems using scale variable”, Num. Anal. Appl., 8:1 (2015), 81–88  mathnet  crossref  mathscinet  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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    References:131
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