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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 9, Pages 1517–1529
DOI: https://doi.org/10.7868/S0044466917090046
(Mi zvmmf10615)
 

This article is cited in 4 scientific papers (total in 4 papers)

Locally one-dimensional difference scheme for a fractional tracer transport equation

B. A. Ashabokova, Z. V. Beshtokovab, M. Kh. Shkhanukov-Lafishevc

a Institute of Computer Science and Problems of Regional Management, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, Nalchik, Russia
b Institute of Applied Mathematics and Automation, Nalchik, Russia
c Kabardino-Balkar State University, Nal'chik
Full-text PDF (323 kB) Citations (4)
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Abstract: A locally one-dimensional scheme for a fractional tracer transport equation of order is considered. An a priori estimate is obtained for the solution of the scheme, and its convergence is proved in the uniform metric.
Key words: differential equation, fractional derivative, stability and convergence of difference schemes, locally one-dimensional scheme.
Received: 29.04.2016
Revised: 15.11.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 9, Pages 1498–1510
DOI: https://doi.org/10.1134/S0965542517090044
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: B. A. Ashabokov, Z. V. Beshtokova, M. Kh. Shkhanukov-Lafishev, “Locally one-dimensional difference scheme for a fractional tracer transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017), 1517–1529; Comput. Math. Math. Phys., 57:9 (2017), 1498–1510
Citation in format AMSBIB
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:61
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