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

Authors

  • A.K. Bazzaev
    North-Ossetia State University, Vladikavkaz

DOI:

https://doi.org/10.13108/2013-5-1-11

Keywords:

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

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.

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Published

20.03.2013

Issue

Vol. 5 No. 1 (2013): Ufa Mathematical Journal 2013, volume 5 , issue 1

Section

Article