1105.2033 (A. A. Alikhanov)

Boundary value problems for the diffusion equation of the variable order
in differential and difference settings    [PDF]

A. A. Alikhanov

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 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.

View original: http://arxiv.org/abs/1105.2033