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- Title
The Landweber Iterative Regularization Method for Identifying the Unknown Source of Caputo-Fabrizio Time Fractional Diffusion Equation on Spherically Symmetric Domain.
- Authors
Chen, Yong-Gang; Yang, Fan; Tian, Feng
- Abstract
In this article, the inverse problem for identifying the space-dependent source of time fractional diffusion equation on a spherically symmetric domain with Caputo–Fabrizio fractional derivative is discussed. This problem is a typical ill-posed problem and the Landweber iterative regularization method is used to obtain the approximation solution. The convergent error estimates under a priori regularization parameter choice rule and a posteriori regularization parameter choice rule are given, respectively. The numerical examples are given to show the effectiveness of the Landweber iterative regularization method.
- Subjects
SYMMETRIC domains; REGULARIZATION parameter; INVERSE problems; HEAT equation
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 7, p1468
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15071468