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Locally one-dimensional difference schemes for the fractional order diffusion equation |
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| Authors: | M. M. Lafisheva M. Kh. Shkhanukov-Lafishev |
| Affiliation: | (1) Institute of Information Science and Problems of Regional Management, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, ul. I. Armand 37a, Nalchik, 360000, Russia;(2) 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. |
| Keywords: | differential diffusion equation fractional derivative stability and convergence of difference schemes slow diffusion equation locally one-dimensional difference scheme |
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