Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON THREE SPECTRAL REGULARIZATION METHODS FOR A BACKWARD HEAT CONDUCTION PROBLEM

  • Xiong, Xiang-Tuan (DEPARTMENT OF MATHEMATICS LANZHOU UNIVERSITY) ;
  • Fu, Chu-Li (DEPARTMENT OF MATHEMATICS LANZHOU UNIVERSITY) ;
  • Qian, Zhi (DEPARTMENT OF MATHEMATICS LANZHOU UNIVERSITY)
  • Published : 2007.11.30
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Abstract

We introduce three spectral regularization methods for solving a backward heat conduction problem (BHCP). For the three spectral regularization methods, we give the stability error estimates with optimal order under an a-priori and an a-posteriori regularization parameter choice rule. Numerical results show that our theoretical results are effective.

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References

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