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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf10615 https://www.mathnet.ru/eng/zvmmf/v57/i9/p1517
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Abstract page: | 310 | Full-text PDF : | 49 | References: | 61 | First page: | 18 |
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