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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 7, Pages 1200–1208 (Mi zvmmf4901)  
This article is cited in 23 scientific papers (total in 23 papers)

A locally one-dimensional scheme for a fractional-order diffusion equation with boundary conditions of the third kind

A. K. Bazzaeva, M. Kh. Shkhanukov-Lafishevb

a North Ossetian State University, ul. Vatutina 46, Vladikavkaz, 362040 Russia
b Kabardino-Balkar State University, ul. Chernyshevskogo 173, Nalchik, 360004 Russia
Full-text PDF (241 kB) Citations (23)
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Abstract: For a fractional diffusion equation with Robin boundary conditions, locally one-dimensional difference schemes are considered and their stability and convergence are proved.
Key words: fractional derivative, stability and convergence of difference schemes, slow diffusion equation, locally one-dimensional difference scheme.
Received: 16.07.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 7, Pages 1141–1149
DOI: https://doi.org/10.1134/S0965542510070031
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. K. Bazzaev, M. Kh. Shkhanukov-Lafishev, “A locally one-dimensional scheme for a fractional-order diffusion equation with boundary conditions of the third kind”, Zh. Vychisl. Mat. Mat. Fiz., 50:7 (2010), 1200–1208; Comput. Math. Math. Phys., 50:7 (2010), 1141–1149
Citation in format AMSBIB
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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