On the convergence of difference schemes for the diffusion equation of fractional order

Ukrainian Mathematical Journal

Volumn 50, Issue 7, 1998, Pages 1131-1134

  Bechelova, A R ^a  

^a KABARDINO BALKARIAN STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 30744456235     PISSN: 00415995     EISSN: 15739376     Source Type: Journal    
DOI: 10.1007/BF02528824     Document Type: Article

References (7)

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2. R. R. Nigmatullin, "Solution of a generalized transfer equation in a medium with fractal geometry, " Phys Stat. Sol., 133, 38-43 (1986).
3. V. Kh. Shogenov, S. K. Kumykova, and M. Kh. Shkhanukov-Lafishev, "A generalized transfer equation and fractional derivatives, " Dokl. AMAN, 2, No. 1, 43-46 (1996).
4. S. Gekkieva, "A boundary-value problem for a generalized transfer equation with fractional derivative with respect to time, " Dokl. AMAN, 1, No. 1, 17-19 (1994).
5. A. R. Bechelova, "Construction of difference schemes approximating the third boundary-value problem for a diffusion equation of fractional order, " in: Nonlinear Boundary-Value Problems of Mathematical Physics and Their Applications [in Russian], Kiev (1996), pp. 40-41.
6. M. Kh. Shkhanukov-Lafishev and A. R. Bechelova, "Remarks concerning the statement of boundary-value problems for differential equations with fractional derivatives, " in: Nonlinear Boundary-Value Problems of Mathematical Physics and Their Applications [in Russian], Kiev (1996), pp. 286-287.
7. A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1977).