K. A. Ames, W. C. Gordon, J. F. Epperson and S. F. Oppenhermer, “A Compari-son of Regularizations for an Ill-Posed Problem,” Mathematics of Computation, Vol. 67, No. 224, 1998, pp. 1451-1471. doi:10.1090/S0025-5718-98-01014-X

has been cited by the following article:

• TITLE: Quasi-Reversibility Regularization Method for Solving a Backward Heat Conduction Problem

  AUTHORS: Ailin Qian, Jianfeng Mao

  KEYWORDS: Back Heat Conduction, Ill-Posed Problem, Quasi-Reversibility, Regularization

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.1 No.3, September 19, 2011

  ABSTRACT: Non-standard backward heat conduction problem is ill-posed in the sense that the solution(if it exists) does not depend continuously on the data. In this paper, we propose a regularization strategy-quasi-reversibility method to analysis the stability of the problem. Meanwhile, we investigate the roles of regularization parameter in this method. Numerical result show that our algorithm is effective and stable.