On the stability and convergence of difference schemes for the generalized fractional diffusion equation with Robin boundary value conditions

A. K. Bazzaev

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 738-752.

Résumé

In this work a difference schemes of higher order approximation are constructed for the generalized diffusion equation of fractional order with the Robin boundary value conditions. Using the maximum principle, we obtain a priori estimates and prove the stability and the uniform convergence of difference schemes.

Détail

Keywords: fractional derivative, Caputo fractional derivative, difference schemes, Robin boundary value conditions, maximum principle, convergence and stability.

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