| Autor: |
Hongwu Zhang, Xiaoju Zhang |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
AIMS Mathematics, Vol 6, Iss 1, Pp 90-101 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2021007/fulltext.html |
| Popis: |
A sideways problem of the time-fractional diffusion equation is investigated. The solution of this problem does not depend on the given data. In view of this, this article uses a Tikhonov-type regularized method to construct an approximate solution and overcome the ill-posedness of considered problem. The a-posteriori convergence estimates of logarithmic and double logarithmic types for the regularized method are derived. Finally, for smooth and non-smooth cases we respectively verify the effectiveness of proposed method by doing the coresponding numerical experiments. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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