| 抛物方程非特征柯西问题的分数次Tikhonov方法 |
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| 引用本文： | 陈雅文,熊向团.抛物方程非特征柯西问题的分数次Tikhonov方法[J].山东大学学报(理学版),2019,54(12):120-126. |
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| 作者姓名： | 陈雅文 熊向团 |
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| 作者单位： | 西北师范大学数学与统计学院, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金资助项目(11661072);西北师范大学科学计算创新团队项目(NWNU-LKQN-17-5) |
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| 摘 要： | 讨论了一个不适定的抛物方程的非特征柯西问题,为了解决这个问题,采用了分数次Tikhonov正则化方法,并提出先验和后验两种参数选取规则下的稳定误差估计。
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| 关 键 词： | 不适定问题 抛物方程 分数次Tikhonov方法 误差估计 |
Fractional Tikhonov method of a non-characteristic Cauchy problem for a parabolic equation |
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| CHEN Ya-wen,XIONG Xiang-tuan.Fractional Tikhonov method of a non-characteristic Cauchy problem for a parabolic equation[J].Journal of Shandong University,2019,54(12):120-126. |
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| Authors: | CHEN Ya-wen XIONG Xiang-tuan |
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| Institution: | College of Mathematics and Statistics Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | The ill-posed non-characteristic Cauchy problem for a parabolic equation is considered. A fractional Tikhonov regularization method is applied to solve the the problem. Some stability error estimates under for a-poriori and a-posteriori choice rules are given. |
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| Keywords: | ill-posed problem parabolic equation fractional Tikhonov method error estimation |
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