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

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  • Cheng, Wei
  • Fu, Chu-Li
  • Qian, Zhi

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.

Suggested Citation

  • Cheng, Wei & Fu, Chu-Li & Qian, Zhi, 2007. "A modified Tikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(3), pages 97-112.
    • Handle: RePEc:eee:matcom:v:75:y:2007:i:3:p:97-112
    DOI: 10.1016/j.matcom.2006.09.005
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    Cited by:

    1. Yang, Fan & Fu, Chu-Li & Li, Xiao-Xiao, 2018. "The method of simplified Tikhonov regularization for a time-fractional inverse diffusion problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 219-234.

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