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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2017 Volume 57, Number 1, Pages 122–132 (Mi zvmmf10512)

This article is cited in 4 papers

On the convergence of difference schemes for fractional differential equations with Robin boundary conditions

A. K. Bazzaevab, M. Kh. Shhanukov-Lafishevc

a North-Ossetian State University, Vladikavkaz, Russia
b Vladikavkaz Institute of Management, Vladikavkaz, Russia
c Kabardino-Balkar State University, Nalchik, Russia

Abstract: Locally one-dimensional difference schemes for partial differential equations with fractional order derivatives with respect to time and space in multidimensional domains are considered. Stability and convergence of locally one-dimensional schemes for this equation are proved.

Key words: difference schemes, maximum principle, stability and convergence of difference schemes, locally one-dimensional difference scheme.

UDC: 519.63

Received: 15.06.2014
Revised: 12.05.2016

DOI: 10.7868/S0044466917010033


 English version:
Computational Mathematics and Mathematical Physics, 2017, 57:1, 133–144

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