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Iterative fractional Tikhonov–Landweber method for identifying unknown source on a columnar symmetric domain

  • Guijuan Liu,
  • Wen Zhang,
  • Zhousheng Ruan,
  • Huilin Xu

摘要

In this article, we consider an inverse problem of determining an unknown heat source term from the final temperature in a radial domain. The iterative fractional Tikhonov–Landweber regularized prior and posterior method is conducted to solve the problem and obtain a regularized approximation with the optimal order error estimate. Numerical examples confirm the effectiveness of the iterative fractional Tikhonov–Landweber regularization approach.