13 research outputs found
Boundary value problems for the diffusion equation of the variable order in differential and difference settings
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.Comment: 19 pages. Presented at the 4-th IFAC Workshop on Fractional
Differentiation and Its Applications, Badajoz, Spain, October 18-20, 201