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http://hdl.handle.net/10773/18253| Title: | Galerkin spectral method for the fractional nonlocal thermistor problem |
| Author: | Sidi Ammi, M. R. Torres, D. F. M. |
| Keywords: | Error analysis Finite difference method Fractional differential equations Galerkin spectral method Stability |
| Issue Date: | 2017 |
| Publisher: | Elsevier |
| Abstract: | We develop and analyse a numerical method for the time-fractional nonlocal thermistor problem. By rigorous proofs, some error estimates in different contexts are derived, showing that the combination of the backward differentiation in time and the Galerkin spectral method in space leads, for an enough smooth solution, to an approximation of exponential convergence in space. © 2016 Elsevier Ltd |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/18253 |
| DOI: | 10.1016/j.camwa.2016.05.033 |
| ISSN: | 0898-1221 |
| Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [347]CAMWA-SidiAmmi_Torres.pdf | 396.56 kB | Adobe PDF | View/Open |
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