M. M. Lafisheva, M. H. Shhanukov-Lafishev, “Locally one-dimensional difference schemes for the fractional order diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 2008, Volume 48, Number 10,Pages <nobr>1878

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Locally one-dimensional difference schemes for the fractional order diffusion equation

M. M. Lafisheva^a, M. H. Shhanukov-Lafishev^b

^a Institute of Information Science and Problems of Regional Management, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, ul. I. Armand 37a, Nalchik, 360000, Russia
^b Kabardino-Balkar State University, ul. Chernyshevskogo 173, Nalchik, 360004, Russia

Abstract: Locally-one-dimensional difference schemes for the fractional diffusion equation in multidimensional domains are considered. Stability and convergence of locally one-dimensional schemes for this equation are proved.

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

UDC: 519.63

Received: 20.07.2007