| Autor: |
Zhao Zhenyu, You Lei, Meng Zehong |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Open Mathematics, Vol 18, Iss 1, Pp 1685-1697 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
2391-5455 |
| DOI: |
10.1515/math-2020-0111 |
| Popis: |
In this paper, a Cauchy problem for the Laplace equation is considered. We develop a modified Tikhonov regularization method based on Hermite expansion to deal with the ill posed-ness of the problem. The regularization parameter is determined by a discrepancy principle. For various smoothness conditions, the solution process of the method is uniform and the convergence rate can be obtained self-adaptively. Numerical tests are also carried out to verify the effectiveness of the method. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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