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Locally one-dimensional scheme for fractional diffusion equations with robin boundary conditions

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Abstract

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

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Authors and Affiliations

  1. North Ossetian State University, ul. Vatutina 46, Vladikavkaz, 362040, Russia

    A. K. Bazzaev

  2. Kabardino-Balkar State University, ul. Chernyshevskogo 173, Nalchik, 360004, Russia

    M. Kh. Shkhanukov-Lafishev

Authors
  1. A. K. Bazzaev
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  2. M. Kh. Shkhanukov-Lafishev
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Correspondence to A. K. Bazzaev.

Additional information

Original Russian Text © A.K. Bazzaev, M.Kh. Shkhanukov-Lafishev, 2010, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2010, Vol. 50, No. 7, pp. 1200–1208.

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Bazzaev, A.K., Shkhanukov-Lafishev, M.K. Locally one-dimensional scheme for fractional diffusion equations with robin boundary conditions. Comput. Math. and Math. Phys. 50, 1141–1149 (2010). https://doi.org/10.1134/S0965542510070031

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  • DOI: https://doi.org/10.1134/S0965542510070031

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