Abstract
In this article, we consider an inverse problem of determining an unknown heat source term from the final temperature in a radial domain. The iterative fractional Tikhonov–Landweber regularized prior and posterior method is conducted to solve the problem and obtain a regularized approximation with the optimal order error estimate. Numerical examples confirm the effectiveness of the iterative fractional Tikhonov–Landweber regularization approach.
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Acknowledgements
The authors would like to thank editors and reviewers for their valuable suggestions and comments. This work is partially supported by National Natural Science Foundation of China (11861007, 11961002, 12061008, 12261004), Jiangxi Provincial Natural Science Foundation (20232BAB201019). Scientific Research Fund of Jiangxi Provincial Education Department (GJJ211402).
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Liu, G., Zhang, W., Ruan, Z. et al. Iterative fractional Tikhonov–Landweber method for identifying unknown source on a columnar symmetric domain. Comp. Appl. Math. 43, 297 (2024). https://doi.org/10.1007/s40314-024-02692-9
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DOI: https://doi.org/10.1007/s40314-024-02692-9
Keywords
- Inverse problem
- Ill-posed problem
- Columnar symmetric domain
- Iterative-fractional Tikhonov–Landweber method