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Determine source of Cahn–Hilliard equation with time‐fractional derivative by iterative variational regularization method.
- Source :
-
Mathematical Methods in the Applied Sciences . Mar2024, Vol. 47 Issue 4, p2434-2451. 18p. - Publication Year :
- 2024
-
Abstract
- In this paper, we consider the inverse problem for the time‐fractional two‐dimensional Cahn–Hilliard equation. The ill‐posedness and a conditional stability of the inverse problem are proved. We present a new iterative variational regularization method to solve it. The convergence rates of the regularized solutions under the a priori regularization parameter choice rule and a posteriori regularization parameter choice rule are obtained. Numerical examples illustrate the effectiveness and stability of our proposed method. [ABSTRACT FROM AUTHOR]
- Subjects :
- *REGULARIZATION parameter
*EQUATIONS
*MATHEMATICAL regularization
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 175388170
- Full Text :
- https://doi.org/10.1002/mma.9756