| 一类非线性微分方程反问题的数值解 |
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| 引用本文： | 马宗立,岳素芳. 一类非线性微分方程反问题的数值解[J]. 哈尔滨师范大学自然科学学报, 2007, 23(5): 20-23 |
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| 作者姓名： | 马宗立 岳素芳 |
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| 作者单位： | 安庆师范学院;哈尔滨工业大学 |
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| 摘 要： | 在再生核空间中考虑一类非线性抛物型偏微分方程反问题,以级数的形式给出了解的精确表达,并证明了构造出来的迭代序列是收敛到精确解的.最后给出了数值算例,其结果是令人满意的.
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| 关 键 词： | 再生核空间 抛物型微分方程 非线性 反问题 |
| 修稿时间： | 2007-05-18 |
NUMERICAL SOLUTION OF A KIND OF INVERSE PROBLEMS FOR NONLINEAR DIFFERENTIAL EQUATIONS |
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| Ma Zongli,Yue Sufang. NUMERICAL SOLUTION OF A KIND OF INVERSE PROBLEMS FOR NONLINEAR DIFFERENTIAL EQUATIONS[J]. Natural Science Journal of Harbin Normal University, 2007, 23(5): 20-23 |
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| Authors: | Ma Zongli Yue Sufang |
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| Affiliation: | Ma Zongli(Anqing Teacher College) Yue Sufang(Harbin Institute of Technology) |
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| Abstract: | The numerical solution of a kind of inverse problem for nonlinear parabolic differential equations in reproducing kernel space is considered.We give the exact expression of the solution in the form of series and prove that the iteration sequence constructed converges to the exact solution.Finally,we give a numerical example and its result is satisfactory. |
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| Keywords: | Reproducing kernel space Parabolic equations Nonlinear Inverse problem |
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