A quasi-boundary value regularization method for the spherically symmetric backward heat conduction problem
Abstract: In this article, we investigate a spherically symmetric backward heat conduction problem, starting from the final temperature. This problem is severely ill posed: the solution (if it exists) does not depend continuously on the final data. A conditional stability result of its solution is given. Further, we propose a quasi-boundary value regularization method to solve this ill-posed problem. Two Hölder type error estimates between the approximate solution and its exact solution are obtained under an a priori and an a posteriori regularization parameter choice rule, respectively.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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A quasi-boundary value regularization method for the spherically symmetric backward heat conduction problem ; volume:21 ; number:1 ; year:2023 ; extent:11
Open mathematics ; 21, Heft 1 (2023) (gesamt 11)
- Creator
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Cheng, Wei
Liu, Yi-Liang
- DOI
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10.1515/math-2023-0171
- URN
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urn:nbn:de:101:1-2024010813103151743938
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:21 AM CEST
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Associated
- Cheng, Wei
- Liu, Yi-Liang
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