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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 10, Pages 1878–1887 (Mi zvmmf102)  
This article is cited in 29 scientific papers (total in 29 papers)

Locally one-dimensional difference schemes for the fractional order diffusion equation

M. M. Lafishevaa, M. H. Shhanukov-Lafishevb

a Institute of Information Science and Problems of Regional Management, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, ul. I. Armand 37a, Nalchik, 360000, Russia
b Kabardino-Balkar State University, ul. Chernyshevskogo 173, Nalchik, 360004, Russia
Full-text PDF (784 kB) Citations (29)
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Abstract: Locally-one-dimensional difference schemes for the fractional diffusion equation in multidimensional domains are considered. Stability and convergence of locally one-dimensional schemes for this equation are proved.
Key words: differential diffusion equation, fractional derivative, stability and convergence of difference schemes, slow diffusion equation, locally one-dimensional difference scheme.
Received: 20.07.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 10, Pages 1875–1884
DOI: https://doi.org/10.1134/S0965542508100102
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. M. Lafisheva, M. H. Shhanukov-Lafishev, “Locally one-dimensional difference schemes for the fractional order diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 48:10 (2008), 1878–1887; Comput. Math. Math. Phys., 48:10 (2008), 1875–1884
Citation in format AMSBIB
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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