Geodesic
Locally one-dimensional difference schemes for the fractional diffusion equation with a fractional derivative in lowest terms
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 80-91

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For a fractional diffusion equation with a fractional derivative in lowest terms with Robin boundary conditions, locally one-dimensional difference schemes are considered and their stability and convergence are proved.
Keywords: locally one-dimensional difference scheme, Caputo fractional derivative, maximum principle, stability and convergence of difference schemes, Robin boundary conditions.
Mots-clés : slow diffusion equation 
@article{SEMR_2015_12_a68,
     author = {A. K. Bazzaev and I. D. Tsopanov},
     title = {Locally one-dimensional difference schemes for the fractional diffusion equation with a fractional derivative in lowest terms},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {80--91},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a68/}
}
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A. K. Bazzaev; I. D. Tsopanov. Locally one-dimensional difference schemes for the fractional diffusion equation with a fractional derivative in lowest terms. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 80-91. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a68/