Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (1): 186-192.

• Articles • Previous Articles     Next Articles

A Modified Tikhonov Regularization Method for Identifying an Unknown Source in the Heat Equation

 ZHAO Zhen-Yu, YOU Lei   

  1. College of Science, Guangdong Ocean University, Guangdong Zhanjiang |524088
  • Received:2012-10-12 Revised:2013-09-30 Online:2014-02-25 Published:2014-02-25
  • Supported by:

    国家自然科学基金(11201085)资助.

Abstract:

In this paper, we consider the problem for determining the unknown source in the heat equation. A modified Tikhonov regularization method is presented to deal with the illposedness of the problem and error estimates are obtained with an a priori strategy and an a posteriori choice rule to find the regularization parameter. Numerical tests show that the proposed method is effective and stable.

Key words: Ill-posed problem, Unknown source, Heat equation, Regularization method, Discrepancy principle, Hilbert scales

CLC Number: 

  • 47A52
Trendmd