| 一个非标准逆热传导方程的正则化方法 |
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| 引用本文： | 王义龙,唐莉玲. 一个非标准逆热传导方程的正则化方法[J]. 西南民族学院学报(自然科学版), 2007, 33(6): 1239-1243 |
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| 作者姓名： | 王义龙 唐莉玲 |
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| 作者单位： | 西南石油大学理学院 四川南充637001 |
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| 摘 要： | 考虑了一维非标准逆热传导方程.问题是严重不适定的,方程的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,提出新的一种方法,恢复了解对数据的连续性,并给出了误差估计,相比较该方法不仅保留了原始数据的部分高频成份,而且具有相同的误差估计.
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| 关 键 词： | 逆问题 不适定问题 正则化 逆热传导. |
| 文章编号： | 1003-2843（2007）06-1239-05 |
| 收稿时间： | 2007-04-05 |
| 修稿时间： | 2007-04-05 |
Regularization to solve a non-standard inverse heat conduction problem |
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| WANG Yi-long,TANG Li-ling. Regularization to solve a non-standard inverse heat conduction problem[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2007, 33(6): 1239-1243 |
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| Authors: | WANG Yi-long TANG Li-ling |
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| Abstract: | We consider a non-standard inverse heat conduction problem. The problem is ill-posed,in the sense that the solution (if it exists) does not depend continuously on the data. A new algorithm is proposed to regularize this problem by a Fourier-based approximation. The stability of this problem is recovered and the error estimate is given. This algorithm keeps parts of high-frequency components of the data and has the same error estimate. |
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| Keywords: | inverse problem ill-posed problem regularization inverse heat conduction problem |
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