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- Title
Identification of the Initial Value for a Time-Fractional Diffusion Equation.
- Authors
Yang, Fan; Gao, Yin-Xia; Li, Dun-Gang; Li, Xiao-Xiao
- Abstract
In this manuscript, we study the inverse problem for identifying the initial value of a time-fractional diffusion equation in an axisymmetric region. This is an ill-posed problem, i.e., the solution does not depend continuously on the data. We choose the Landweber iterative regularization method to solve this problem. Under the a priori and the a posteriori regularization parameter choice rules, we present the error estimates between the regularization solutions and the exact solution. We present some examples to show this method's effectiveness.
- Subjects
HEAT equation; SYMMETRIC domains; INVERSE problems; REGULARIZATION parameter
- Publication
Symmetry (20738994), 2022, Vol 14, Issue 12, p2569
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym14122569