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Ufa Mathematical Journal, 2013, Volume 5, Issue 1, Pages 11–16
DOI: https://doi.org/10.13108/2013-5-1-11 (Mi ufa183) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Finite-difference schemes for diffusion equation of fractional order with third type boundary conditions in multidimensional domain

A. K. Bazzaev

North-Ossetia State University, Vladikavkaz
English version PDF (304 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.13108/2013-5-1-11
Abstract: We consider finite difference schemes for diffusion equation of fractional order in a multidimensional field with third type boundary conditions. We prove the stability and convergence of difference schemes for considered problem.
Keywords: finite-difference schemes, diffusion equation of fractional order, apriori estimate, maximum principle, third type boundary conditions, stability and convergence of finite-difference scheme.
Received: 10.11.2011
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: English
Original paper language: Russian
Citation: A. K. Bazzaev, “Finite-difference schemes for diffusion equation of fractional order with third type boundary conditions in multidimensional domain”, Ufa Math. J., 5:1 (2013), 11–16
Citation in format AMSBIB
\Bibitem{Baz13}
\by A.~K.~Bazzaev
\paper Finite-difference schemes for diffusion equation of fractional order with third type boundary conditions in multidimensional domain
\jour Ufa Math. J.
\yr 2013
\vol 5
\issue 1
\pages 11--16
\mathnet{http://mi.mathnet.ru//eng/ufa183}
\crossref{https://doi.org/10.13108/2013-5-1-11}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3429947}
\elib{https://elibrary.ru/item.asp?id=18929623}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Уфимский математический журнал
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    Abstract page:522
    Russian version PDF:287
    English version PDF:18
    References:79
    First page:2
     
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