| 热方程未知源识别问题的磨光化方法 |
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| 引用本文： | 邓君玲,钱爱林,颜堤,陈锦宝.热方程未知源识别问题的磨光化方法[J].湖北大学学报(自然科学版),2013(2):219-222. |
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| 作者姓名： | 邓君玲 钱爱林 颜堤 陈锦宝 |
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| 作者单位： | 湖北科技学院数学与统计学院 |
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| 基金项目： | 湖北省自然科学基金项目(2012FFC140)资助 |
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| 摘 要： | 讨论一类未知源识别问题，这个问题是不适定的，即解不连续依赖于输人数据．本文中用磨光化方法对这一问题的稳定性进行分析，给出数值算法，数值试验显示正则化方法是稳定和有效的．
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| 关 键 词： | 不适定问题 未知源 磨光 正则化 误差估计 |
Mollification regularization for identifying an unknown source in the heat equation |
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| DENG Junling,QIAN Ailin,YAN Di,CHEN Jinbao.Mollification regularization for identifying an unknown source in the heat equation[J].Journal of Hubei University(Natural Science Edition),2013(2):219-222. |
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| Authors: | DENG Junling QIAN Ailin YAN Di CHEN Jinbao |
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| Institution: | (Department of Mathematics and Statistics,Hubei University of Science and Technology,Xianning 437100,China) |
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| Abstract: | It investigated a problem of the identification of an unknown source, the problem was ill-posed in the sense that the solution（if it existed） did not depend continuously on the data. The mollification regularization method was utilized for solving the problem, and its convergent rate was analyzed. Numerical results were presented to illustrate the accuracy and efficiency of the method. |
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| Keywords: | ill-posed problem unknown source mollification regularization error estimate |
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