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.
| Original language | English |
|---|---|
| Pages (from-to) | 3938-3946 |
| Number of pages | 9 |
| Journal | Applied Mathematics and Computation |
| Volume | 219 |
| Issue number | 8 |
| DOIs | |
| State | Published - 15 Dec 2012 |
| Externally published | Yes |
Keywords
- A priori estimate
- Difference scheme
- Fractional derivative
- Stability and convergence
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics
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