| 逆热传导方程的一类正则化算法 |
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| 引用本文： | 王义龙,冯象初,杨君慧.逆热传导方程的一类正则化算法[J].电子科技,2006(5):8-11,15. |
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| 作者姓名： | 王义龙 冯象初 杨君慧 |
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| 作者单位： | 1. 西安电子科技大学,理学院,陕西,西安,710071
2. 陕西医学高等专科学校基础部,陕西,西安,710068 |
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| 摘 要： | 考虑了标准的一维逆热传导方程,问题是不适定的,即解不连续地依赖于数据.通过Fourier逼近的方法进行正则化处理,提出了一类新的算法并且与已有的正则化算法进行了比较,理论分析和数值实验均表明该算法是稳定的,且具有相同的精度和计算复杂性,同时也具有灵活性和广泛性.
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| 关 键 词： | 逆问题 不适定问题 Fourier分析 热传导 |
| 收稿时间： | 2005-09-15 |
| 修稿时间： | 2005-09-15 |
A Regularization Algorithm for Solving the Sideways Heat Equation |
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| Wang Yilong,Feng Xiangchu,Yang Junhui.A Regularization Algorithm for Solving the Sideways Heat Equation[J].Electronic Science and Technology,2006(5):8-11,15. |
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| Authors: | Wang Yilong Feng Xiangchu Yang Junhui |
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| Abstract: | The standard sideways inverse heat conduction equation is discussed. The problem is ill-posed, in the sense that the solution (if it exists) does not depend continuously on the data. It is regularized by a Fourier-based approximation. A new algorithm is proposed and compared with the current regularization algorithm. Theoretical analyses and numerical experiments show that it is stable, flexible and universal with the same degree of accuracy and computational complexity. |
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| Keywords: | Inverse problem ill-posed problem Fourier analysis heat conduction |
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