volume 219, issue 8, P3938-3946 2012
DOI: 10.1016/j.amc.2012.10.029
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Anatoly A. Alikhanov

Abstract: Solutions of boundary value problems for a diffusion equation of fractional and variable order in differential and difference settings are studied. It is shown that the method of the energy inequalities is applicable to obtaining a priori estimates for these problems exactly as in the classical case. The credibility of the obtained results is verified by performing numerical calculations for a test problem.