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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 4, Pages 572–586
DOI: https://doi.org/10.7868/S0044466916040049 (Mi zvmmf10375) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Stability and convergence of difference schemes for boundary value problems for the fractional-order diffusion equation

A. A. Alikhanov

Institute of Applied Mathematics and Automation, Nalchik
Full-text PDF (269 kB) Citations (13)
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DOI: https://doi.org/10.7868/S0044466916040049
Abstract: A family of difference schemes for the fractional-order diffusion equation with variable coefficients is considered. By the method of energetic inequalities, a priori estimates are obtained for solutions of finite-difference problems, which imply the stability and convergence of the difference schemes considered. The validity of the results is confirmed by numerical calculations for test examples.
Key words: fractional-order derivative, stability and convergence of difference schemes, fractional-order diffusion equation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-3360.2015.1
This work was supported by the Russian Federation's Presidential Program for the Support of Young Scientist, project no. MK-3360.2015.1.
Received: 19.08.2013
Revised: 03.03.2014
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 4, Pages 561–575
DOI: https://doi.org/10.1134/S0965542516040035
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. A. Alikhanov, “Stability and convergence of difference schemes for boundary value problems for the fractional-order diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016), 572–586; Comput. Math. Math. Phys., 56:4 (2016), 561–575
Citation in format AMSBIB
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    • This publication is cited in the following 13 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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