Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629368 | Applied Mathematics and Computation | 2012 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Anatoly A. Alikhanov,