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JOURNALS // Ufimskii Matematicheskii Zhurnal // Archive

Ufimsk. Mat. Zh., 2013 Volume 5, Issue 1, Pages 11–16 (Mi ufa183)

This article is cited in 4 papers

Finite-difference schemes for diffusion equation of fractional order with third type boundary conditions in multidimensional domain

A. K. Bazzaev

North-Ossetia State University, Vladikavkaz

Abstract: We consider finite difference schemes for diffusion equation of fractional order in a multidimensional field with third type boundary conditions. We prove the stability and convergence of difference schemes for considered problem.

Keywords: finite-difference schemes, diffusion equation of fractional order, apriori estimate, maximum principle, third type boundary conditions, stability and convergence of finite-difference scheme.

UDC: 519.63

Received: 10.11.2011


 English version:
Ufa Mathematical Journal, 2013, 5:1, 11–16

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© Steklov Math. Inst. of RAS, 2025