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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 10, Pages 1871–1881 (Mi zvmmf404)  
This article is cited in 81 scientific papers (total in 81 papers)

Difference methods for solving boundary value problems for fractional differential equations

F. I. Taukenovaa, M. H. Shhanukov-Lafishevb

a Kabardino-Balkar Scientific Center, Institute of Computer Science and Problems of Regional Management, Russian Academy of Sciences, ul. I. Armand 37a, Nalchik, 360004, Russia
b Kabardino-Balkar State University, ul. Chernyshevskogo 173, Nalchik, 360004, Russia
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Abstract: Difference schemes for second-order ordinary and partial differential equations with a fractional time derivative are considered. Stationary and nonstationary problems for the diffusion equation in one-and multidimensional domains are examined separately. The stability and convergence of the difference schemes for these equations are proved.
Key words: differential equations, fractional derivative, stability and convergence of difference schemes, factorized scheme, diffusion equation.
Received: 06.07.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 10, Pages 1785–1795
DOI: https://doi.org/10.1134/S0965542506100149
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: F. I. Taukenova, M. H. Shhanukov-Lafishev, “Difference methods for solving boundary value problems for fractional differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 46:10 (2006), 1871–1881; Comput. Math. Math. Phys., 46:10 (2006), 1785–1795
Citation in format AMSBIB
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\paper Difference methods for solving boundary value problems for fractional differential equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\vol 46
\issue 10
\pages 1871--1881
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2304042}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 10
\pages 1785--1795
\crossref{https://doi.org/10.1134/S0965542506100149}
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    • This publication is cited in the following 81 articles:
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