THE LEVENBERG-MARQUARDT REGULARIZATION FOR THE BACKWARD HEAT EQUATION WITH FRACTIONAL DERIVATIVE_

The backward heat problem with time-fractional derivative in Caputo's sense is studied. The inverse problem is severely ill-posed in the case when the fractional order is close to unity. A Levenberg-Marquardt method with a new a posteriori stopping rule is investigated. We show that optimal ord...

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Bibliographic Details
Main Author: Pornsawad P.
Other Authors: Mahidol University
Format: Article
Published: 2023
Subjects:
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/85122
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Institution: Mahidol University
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