A. K. Bazzaev, M. Kh. Shkhanukov-Lafishev, “A locally one-dimensional scheme for a fractional-order diffusion equation with boundary conditions of the third kind”, Zh. Vychisl. Mat. Mat. Fiz., 2010, Volume 50, Number 7,Pages <nobr>1200

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A locally one-dimensional scheme for a fractional-order diffusion equation with boundary conditions of the third kind

A. K. Bazzaev^a, M. Kh. Shkhanukov-Lafishev^b

^a North Ossetian State University, ul. Vatutina 46, Vladikavkaz, 362040 Russia
^b Kabardino-Balkar State University, ul. Chernyshevskogo 173, Nalchik, 360004 Russia

Abstract: For a fractional diffusion equation with Robin boundary conditions, locally one-dimensional difference schemes are considered and their stability and convergence are proved.

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

UDC: 519.633

Received: 16.07.2009