Abstract
Difference schemes for the time-fractional diffusion equation with variable coefficients and nonlocal boundary conditions containing real parameters α and β are considered. By the method of energy inequalities, for the solution of the difference problem, we obtain a priori estimates, which imply the stability and convergence of these difference schemes.
| Original language | English |
|---|---|
| Pages (from-to) | 252-272 |
| Number of pages | 21 |
| Journal | Computational Mathematics and Modeling |
| Volume | 26 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Apr 2015 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2015, Springer Science+Business Media New York.
Keywords
- a priori estimate
- difference scheme
- fractional-order diffusion equation
- nonlocal boundary value condition
- stability and convergence
ASJC Scopus subject areas
- Computational Mathematics
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