| 一类分数阶热传导方程的Fourier正则化方法 |
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| 引用本文： | 钱爱林,毛剑峰. 一类分数阶热传导方程的Fourier正则化方法[J]. 湖北大学学报(自然科学版), 2013, 0(1): 52-55 |
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| 作者姓名： | 钱爱林 毛剑峰 |
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| 作者单位： | 湖北科技学院数学与统计学院 |
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| 基金项目： | 湖北省自然科学基金(2012FFC140)资助 |
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| 摘 要： | 分数阶热传导问题是一个不适定问题,即解不连续依赖输入数据．用Fourier正则化方法对这一问题进行稳定性分析,同时给出数值算法．
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| 关 键 词： | 分数阶热传导方程 不适定问题 Fourier方法 正则化 误差估计 |
Fourier regularization method for a kind of fractional heat conduction equation |
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| QIAN Ailin,MAO Jianfeng. Fourier regularization method for a kind of fractional heat conduction equation[J]. Journal of Hubei University(Natural Science Edition), 2013, 0(1): 52-55 |
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| Authors: | QIAN Ailin MAO Jianfeng |
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| Affiliation: | (Department of mathematics and statistics,Hubei University of science and technology,Xianning 437100,China) |
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| Abstract: | Fractional heat conduction problem was ill-posed problem which the solution （if it exised） didn＇t depend continuously on the datas. In this paper, it proposed a regularization strategy- Fourier method to analysis the stability of the problem. Meanwhile, we gave the numerical agorithm. |
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| Keywords: | fractional heat conduction equation ill-posed problem Fourier method, regularization error estimates |
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