Geodesic
Locally one dimensional scheme of the Dirichlet boundary value problem for fractional diffusion equation with space Caputo fractional derivative
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 2, pp. 3-13

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Locally one-dimensional difference schemes for the fractional diffusion equation with space Caputo fractional derivative in multidimensional domains are considered. Stability and convergence of locally one-dimensional schemes for this equation are proved. 
@article{VMJ_2014_16_2_a0,
     author = {A. K. Bazzaev},
     title = {Locally one dimensional scheme of the {Dirichlet} boundary value problem for fractional diffusion equation with space {Caputo} fractional derivative},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {3--13},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2014_16_2_a0/}
}
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A. K. Bazzaev. Locally one dimensional scheme of the Dirichlet boundary value problem for fractional diffusion equation with space Caputo fractional derivative. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 2, pp. 3-13. http://geodesic.mathdoc.fr/item/VMJ_2014_16_2_a0/