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  • 标题:Iterative Method Based on the Truncated Technique for Backward Heat Conduction Problem with Variable Coefficient
  • 本地全文:下载
  • 作者:Hongwu Zhang ; Xiaoju Zhang
  • 期刊名称:Open Access Library Journal
  • 印刷版ISSN:2333-9705
  • 电子版ISSN:2333-9721
  • 出版年度:2015
  • 卷号:2
  • 期号:4
  • 页码:1-11
  • DOI:10.4236/oalib.1101501
  • 语种:English
  • 出版社:Scientific Research Pub
  • 摘要:We consider a backward heat conduction problem (BHCP) with variable coefficient. This problem is severely ill-posed in the sense of Hadamard and the regularization techniques are required to stabilize numerical computations. We use an iterative method based on the truncated technique to treat it. Under an a-priori and an a-posteriori stopping rule for the iterative step number, the convergence estimates are established. Some numerical results show that this method is stable and feasible.
  • 关键词:Ill-Posed ProblemBackward Heat Conduction Problem with Variable CoefficientIterative MethodTruncated TechniqueConvergence Estimate
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