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Regularization methods for identifying the initial value of time fractional pseudo-parabolic equation.
- Source :
-
Calcolo . Nov2022, Vol. 59 Issue 4, p1-43. 43p. - Publication Year :
- 2022
-
Abstract
- In this paper, the problem we investigate is that the inverse problem of identifying the initial value for fractional pseudo-parabolic equation. This problem is ill-posed, i.e. the solution (if exists) does not depend on the measurable data. We give the estimate of conditional stability under an a-priori bound assumption for exact solution. Two regularization methods are used to solve this problem, and under an a-priori and an a-posteriori selection rule for the regularization parameter, the error estimates for these methods are obtained. Finally, several numerical examples are given to prove the effectiveness of these regularization methods. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00080624
- Volume :
- 59
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Calcolo
- Publication Type :
- Academic Journal
- Accession number :
- 160193308
- Full Text :
- https://doi.org/10.1007/s10092-022-00492-3