| 一类热传导方程源项识别反问题 |
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| 引用本文： | 巫良杰.一类热传导方程源项识别反问题[J].四川理工学院学报(自然科学版),2011,24(3):286-287. |
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| 作者姓名： | 巫良杰 |
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| 作者单位： | 成都理工大学应用数学系,成都,610059 |
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| 摘 要： | 文章讨论了在有界区域里只含空间变量的一维热传导方程的源项识别问题。通过附加数据,采用拟可逆正则化方法对问题进行求解,得到了该问题的一个正则解,并给出了正则解与精确解之间的误差估计。
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| 关 键 词： | 热传导方程 源项识别 正则化 误差估计 |
An Inverse Problem of Source Term Identification for Heat Conduction Equation |
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| WU Liang-jie.An Inverse Problem of Source Term Identification for Heat Conduction Equation[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2011,24(3):286-287. |
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| Authors: | WU Liang-jie |
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| Institution: | WU Liang-jie(Department of Applied Mathematics,Chengdu University of Technology,Chengdu 610059,China) |
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| Abstract: | This paper discussed a source term identification problem of the one-dimensional heat conduction with only space variable in bounded regions.A regular solution of the inverse problem was obtained by quasi-reversible regularization method.Furthermore,error estimate was given between the regular solution and exact solution. |
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| Keywords: | heat conduction equation source term identification regularization error estimate |
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