Abstract
A family of difference schemes for the fractional-order diffusion equation with variable coefficients is considered. By the method of energetic inequalities, a priori estimates are obtained for solutions of finite-difference problems, which imply the stability and convergence of the difference schemes considered. The validity of the results is confirmed by numerical calculations for test examples.
| Original language | English |
|---|---|
| Pages (from-to) | 561-575 |
| Number of pages | 15 |
| Journal | Computational Mathematics and Mathematical Physics |
| Volume | 56 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2016 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2016, Pleiades Publishing, Ltd.
Keywords
- fractional-order derivative
- fractional-order diffusion equation
- stability and convergence of difference schemes
ASJC Scopus subject areas
- Computational Mathematics
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