文章基本信息

标题：Iterative Method Based on the Truncated Technique for Backward Heat Conduction Problem with Variable Coefficient
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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