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., 2017, Volume 57, Number 9,Pages <nobr>1517

This article is cited in 4 papers

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

B. A. Ashabokov^a, Z. V. Beshtokova^b, M. Kh. Shkhanukov-Lafishev^c

^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.

UDC: 519.63

Received: 29.04.2016
Revised: 15.11.2016

DOI: 10.7868/S0044466917090046