Two regularization methods and the order optimal error estimates for a sideways parabolic equation

  • Fu P
  • Fu C
  • Xiong X
 et al. 
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Abstract

In this paper, we consider an inverse heat conduction problem which appears in some applied subjects. This problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the data. A Tikhonov type's regularization method and a Fourier regularization method are applied to formulate regularized solutions which are stably convergent to the exact ones with order optimal error estimates. A numerical example shows that the computational effect of these methods are all satisfactory. © 2005 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Error estimate
  • Ill-posed problem
  • Inverse heat conduction
  • Regularization method
  • Sideways parabolic equation

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