| 一类偏微分方程反系数问题的数值解 |
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| 引用本文： | 岳素芳,马宗立.一类偏微分方程反系数问题的数值解[J].哈尔滨师范大学自然科学学报,2007,23(6):28-31. |
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| 作者姓名： | 岳素芳 马宗立 |
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| 作者单位： | 1. 安庆师范学院
2. 哈尔滨工业大学 |
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| 摘 要： | 在再生核空间中讨论了一类偏微分方程反系数问题的数值求解方法,利用再生核函数的特殊性质建立两个迭代序列,并证明了它们的收敛性,最后给出数值算例来验证此方法的有效性.
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| 关 键 词： | 反问题 再生核 迭代 |
NUMERICAL SOLUTION OF A KIND OF INVERSE COEFFICIENT PROBLEM FOR PARTIAL DIFFERENTIAL EQUATIONS |
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| Yue Sufang,Ma Zongli.NUMERICAL SOLUTION OF A KIND OF INVERSE COEFFICIENT PROBLEM FOR PARTIAL DIFFERENTIAL EQUATIONS[J].Natural Science Journal of Harbin Normal University,2007,23(6):28-31. |
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| Authors: | Yue Sufang Ma Zongli |
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| Institution: | Yue Sufang (Anqing Teacher College) Ma Zongli (Harbin Institute of Technology) |
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| Abstract: | In this paper,numerical solution of a kind of inverse coefficient problem for partial differential equations in the reproducing kernel space is discussed.Employing the special properties of the reproducing kernel func- tion,we construct two iteration sequence and prove their convergence.Numerical example is studied to test the efficiency of the method. |
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| Keywords: | Inverse problem Reproducing kernel Iteration |
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