The Iterative Regularization Technique for Simultaneous Iden…
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- DOI 10.1002/mma.70601
- OpenAlex ID W7134170748
- Type Article
- Language EN
- Published 24 Feb 2026
- Volume 49 (10)
- Pages 10588–10616
- Source Mathematical Methods in the Applied Scie…
- Publisher Wiley
- FWCI 21.91
- Countries 1
- Institutions 1
- Added 09 Mar 2026
- Updated 14 Oct 2026
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The Iterative Regularization Technique for Simultaneous Identification of Initial Value and Source Term in a Complete Parabolic Equation
Article 2026 EN
ABSTRACT This paper investigates the simultaneous inversion of the unknown source term and initial value for a complete parabolic equation in the transport process from a mathematical perspective. We derive the exact solutions using the Fourier transform technique and discover that they are severely ill‐posed. Furthermore, the fractional Landweber iterative regularization method is introduced to a…
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3 authors| # | Author | Institutions | ORCID |
|---|---|---|---|
| 1 | Fan Yang | Lanzhou University of Technolo… (CN) | |
| 2 | Wen-hui Hou | Lanzhou University of Technolo… (CN) | — |
| 3 | Xiaoxiao Li | Lanzhou University of Technolo… (CN) |
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