Geodesic
On the stability and convergence of difference schemes for the generalized fractional diffusion equation with Robin boundary value conditions
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 738-752

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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.
Keywords: fractional derivative, Caputo fractional derivative, difference schemes, Robin boundary value conditions, maximum principle, convergence and stability. 
@article{SEMR_2020_17_a118,
     author = {A. K. Bazzaev},
     title = {On the stability and convergence of difference schemes for the generalized fractional diffusion equation with {Robin} boundary value conditions},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {738--752},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a118/}
}
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A. K. Bazzaev. On the stability and convergence of difference schemes for the generalized fractional diffusion equation with Robin boundary value conditions. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 738-752. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a118/