A modified Tikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem

Wei Cheng, Chu-Li Fu and Zhi Qian

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 75, issue 3, 97-112

Abstract: This paper deals with a spherically symmetric three-dimensional inverse heat conduction problem of determining the internal surface temperature distribution of a hollow sphere from the measured data at a fixed location inside it. This is an ill-posed problem, i.e., the solution (if it exists) does not depend continuously on the data. A modified Tikhonov regularization method is given and an order optimal stability estimate is obtained.

Keywords: Ill-posed problem; Spherically symmetric inverse heat conduction problem; Regularization; Error estimate (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:75:y:2007:i:3:p:97-112

DOI: 10.1016/j.matcom.2006.09.005

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