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An iterative method based on Nesterov acceleration for identifying space-dependent source term in a time-fractional diffusion-wave equation.
- Source :
-
Journal of Computational & Applied Mathematics . Sep2023, Vol. 429, pN.PAG-N.PAG. 1p. - Publication Year :
- 2023
-
Abstract
- In this paper, we investigate an inverse problem of identifying a space-dependent source in a time-fractional diffusion-wave equation by using the final time data. Since the problem is ill-posed, we propose an iterative method based on the Nesterov acceleration strategy to deal with it. Two kinds of convergence rates for the regularized solution are given under both the a priori and a posteriori regularization parameter choice rules. Compared with the classical regularization methods, our method is easy to implement with a fewer number of iterations and can always yield the order optimal error estimates provided the iteration parameter is chosen large enough. Some numerical examples including one-dimensional and two-dimensional cases are presented to illustrate the validity and effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]
- Subjects :
- *REGULARIZATION parameter
*INVERSE problems
*EQUATIONS
*WAVE equation
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 429
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 163338216
- Full Text :
- https://doi.org/10.1016/j.cam.2023.115214