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

Authors:
Wei Cheng;Chu-Li Fu;Zhi Qian
Affiliations:
School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China;School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China;School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China
Venue:
Mathematics and Computers in Simulation
Year:
2007

Citing 3
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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.