| 抛物型方程反问题的数值解 |
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| 引用本文： | 马宗立,岳素芳. 抛物型方程反问题的数值解[J]. 安庆师范学院学报(自然科学版), 2008, 14(4) |
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| 作者姓名： | 马宗立 岳素芳 |
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| 作者单位： | 安庆师范学院数学与计算科学学院,安徽安庆,246133;安庆师范学院数学与计算科学学院,安徽安庆,246133 |
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| 摘 要： | 利用再生核空间的一些性质,通过联立附加条件,构造两个迭代序列,求解一类抛物型方程反系数问题,并证明他们是收敛到精确解的,数值算例说明该方法是有效性的。
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| 关 键 词： | 再生核空间 抛物型方程 反问题 |
Numerical Solution of an Inverse Problem for a Parabolic Equation |
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| MA Zong-li,YUE Su-fang. Numerical Solution of an Inverse Problem for a Parabolic Equation[J]. Journal of Anqing Teachers College(Natural Science Edition), 2008, 14(4) |
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| Authors: | MA Zong-li YUE Su-fang |
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| Affiliation: | MA Zong-li,YUE Su-fang(School of Mathematics , Computing Science,Anqing Teacher College,Anqing 246133,China) |
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| Abstract: | In this paper,we present a new method for solving a kind of inverse coefficient problem of parabolic equations.Considering the additional condition,two iteration sequence are constructed and proved to convergence to the exact solution.Numerical examples are given to show the validity of our method. |
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| Keywords: | Reproducing kernel space Parabolic equation Inverse problem |
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