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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 3, Pages 414–430
DOI: https://doi.org/10.7868/S0044466918030092 (Mi zvmmf10693) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Numerical solution of time-dependent problems with a fractional-power elliptic operator

P. N. Vabishchevichab

a Ammosov North-Eastern Federal University, Yakutsk, Russia
b Nuclear Safety Institute, Russian Academy of Sciences, Moscow, Russia
Citations (2)
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DOI: https://doi.org/10.7868/S0044466918030092
Abstract: A time-dependent problem in a bounded domain for a fractional diffusion equation is considered. The first-order evolution equation involves a fractional-power second-order elliptic operator with Robin boundary conditions. A finite-element spatial approximation with an additive approximation of the operator of the problem is used. The time approximation is based on a vector scheme. The transition to a new time level is ensured by solving a sequence of standard elliptic boundary value problems. Numerical results obtained for a two-dimensional model problem are presented.
Key words: evolution equation, elliptic operator, fractional-power operator, two-level difference schemes.
Funding agency Grant number
Bulgarian National Science Fund DN 12/1
Russian Foundation for Basic Research 17-51-53008_ГФЕН_а
Received: 01.06.2016
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 3, Pages 394–409
DOI: https://doi.org/10.1134/S0965542518030120
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: P. N. Vabishchevich, “Numerical solution of time-dependent problems with a fractional-power elliptic operator”, Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018), 414–430; Comput. Math. Math. Phys., 58:3 (2018), 394–409
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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