Abstract
Solutions of the Dirichlet and Robin boundary value problems for the multi-term variable-distributed order diffusion equation are studied. A priori estimates for the corresponding differential and difference problems are obtained by using the method of the energy inequalities. The stability and convergence of the difference schemes follow from a priory estimates. The credibility of the obtained results is verified by performing numerical calculations for test problems.
| Original language | English |
|---|---|
| Pages (from-to) | 12-22 |
| Number of pages | 11 |
| Journal | Applied Mathematics and Computation |
| Volume | 268 |
| DOIs | |
| State | Published - 4 Jul 2015 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2015 Elsevier Inc. All rights reserved.
Keywords
- A priori estimate
- Difference scheme
- Fractional derivative
- Fractional order diffusion equation
- Stability and convergence
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics
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