| 有界区域上反向热传导问题的Landweber迭代及算法 |
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| 引用本文： | 韦秋凤,傅初黎,冯晓莉. 有界区域上反向热传导问题的Landweber迭代及算法[J]. 重庆理工大学学报(自然科学版), 2009, 23(8): 63-70 |
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| 作者姓名： | 韦秋凤 傅初黎 冯晓莉 |
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| 作者单位： | 广西财经学院数学与统计系;兰州大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金资助项目(10671085) |
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| 摘 要： | 针对反向热传导问题这个经典的严重不适定问题,给出处理有界区域上该问题的Landweber迭代正则化方法.该方法解决了零点的收敛性问题.数值分析实例证明,该方法具有一定的可行性.
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| 关 键 词： | 反向热传导问题 不适定问题 Landweber迭代正则化方法 收敛性 |
Landweber Iteration and Algorithm for Backward Heat Conduction Problem in the Bounded Region |
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| WEI Qiu-feng,FU Chu-li,FENG Xiao-li. Landweber Iteration and Algorithm for Backward Heat Conduction Problem in the Bounded Region[J]. Journal of Chongqing University of Technology(Natural Science), 2009, 23(8): 63-70 |
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| Authors: | WEI Qiu-feng FU Chu-li FENG Xiao-li |
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| Affiliation: | 1.School of Mathematics and Statistics;Guangxi University of Finance and Economics;Nanning 530003;China;2.School of Mathematics and Statistics;Lanzhou University;Lanzhou 730000;China |
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| Abstract: | The backward heat conduction problem(BHCP) is a classical severely ill-posed problem.In this paper,Landweber iteration regularization method is used to solve this problem in the bounded region.This method solves the problem of the convergence at Meanwhile,some numerical examples show that the method works well. |
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| Keywords: | backward heat conduction problem ill-posed problem Landweber iteration regularization method Convergence. |
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