A. K. Bazzaev, M. Kh. Shkhanukov-Lafishev, “Locally one-dimensional schemes for the diffusion equation with a fractional time derivative in an arbitrary domain”, Zh. Vychisl. Mat. Mat. Fiz., 2016, Volume 56, Number 1,Pages <nobr>113

This article is cited in 10 papers

Locally one-dimensional schemes for the diffusion equation with a fractional time derivative in an arbitrary domain

A. K. Bazzaev^ab, M. Kh. Shkhanukov-Lafishev^c

^a Vladikavkaz Institute of Management, ul. Borodinskaya 14, Vladikavkaz, 362025, Russia
^b North Ossetian State University, ul. Vatutina 44–46, Vladikavkaz, 362025, Russia
^c Kabardino-Balkar State University, ul. Chernyshevskogo 173, Nalchik, 360004, Russia

Abstract: Locally one-dimensional difference schemes are considered as applied to a fractional diffusion equation with variable coefficients in a domain of complex geometry. They are proved to be stable and uniformly convergent for the problem under study.

Key words: fractional diffusion equation, Caputo fractional derivative, stability and convergence of difference schemes, slow diffusion equation, locally one-dimensional difference schemes.

UDC: 519.633

Received: 12.02.2014
Revised: 29.09.2014

DOI: 10.7868/S0044466916010063