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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 1, Pages 113–123
DOI: https://doi.org/10.7868/S0044466916010063 (Mi zvmmf10327) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Locally one-dimensional schemes for the diffusion equation with a fractional time derivative in an arbitrary domain

A. K. Bazzaevab, M. Kh. Shkhanukov-Lafishevc

a Vladikavkaz Institute of Management, ul. Borodinskaya 14, Vladikavkaz, 362025, Russia
b North Ossetian State University, ul. Vatutina 44–46, Vladikavkaz, 362025, Russia
c Kabardino-Balkar State University, ul. Chernyshevskogo 173, Nalchik, 360004, Russia
Full-text PDF (207 kB) Citations (10)
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DOI: https://doi.org/10.7868/S0044466916010063
Abstract: Locally one-dimensional difference schemes are considered as applied to a fractional diffusion equation with variable coefficients in a domain of complex geometry. They are proved to be stable and uniformly convergent for the problem under study.
Key words: fractional diffusion equation, Caputo fractional derivative, stability and convergence of difference schemes, slow diffusion equation, locally one-dimensional difference schemes.
Received: 12.02.2014
Revised: 29.09.2014
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 1, Pages 106–115
DOI: https://doi.org/10.1134/S0965542516010061
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. K. Bazzaev, M. Kh. Shkhanukov-Lafishev, “Locally one-dimensional schemes for the diffusion equation with a fractional time derivative in an arbitrary domain”, Zh. Vychisl. Mat. Mat. Fiz., 56:1 (2016), 113–123; Comput. Math. Math. Phys., 56:1 (2016), 106–115
Citation in format AMSBIB
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    • This publication is cited in the following 10 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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