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DOI: 10.23671/VNC.2016.2.7384 Locally one dimensional scheme of the dirichlet boundary value problem for fractional diffusion equation with space caputo fractional derivative
Bazzaev A. K.
Vladikavkaz Mathematical Journal 2014. Vol. 16. Issue 2.
Abstract:
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.
Keywords: Caputo fractional derivative, stability and convergence of difference schemes, slow diffusion equation, locally one-dimensional difference scheme.
Language: Russian
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For citation: Bazzaev A. K. Locally one dimensional scheme of the dirichlet boundary value problem for fractional diffusion equation with space caputo fractional derivative // Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 17, no. 1, pp.3-13.
DOI 10.23671/VNC.2016.2.7384 ← Contents of issue |
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