| Autor: |
Zhang, Chen-Yu, Yang, Fan, Li, Xiao-Xiao |
| Zdroj: |
Computational & Applied Mathematics; Jun2024, Vol. 43 Issue 4, p1-26, 26p |
| Abstrakt: |
In this paper, we consider the inverse problem for identifying the source term and initial value for time-fractional diffusion equation on spherically symmetric domain with Caputo–Hadamard fractional derivative. By solving the direct problem, the exact solutions of the problem can be calculated, and based on the expressions of the exact solutions, it can be analyzed that this problem is ill-posed. To address this, we employ the fractional Landweber iterative regularization method to restore the stability of the solutions. Furthermore, the error estimates under the priori regularization parameter choice rules and the posteriori regularization parameter choice rules are given, respectively. Finally, different numerical examples are presented to demonstrate the validity and effectiveness of our method. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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