A modified Tikhonov regularization method for a backward heat equation

被引：24
|
作者：
Zhao, Zhenyu [1 ,3 ]
Meng, Zehong [2 ]
机构：
[1] Guangdong Ocean Univ, Coll Sci, Zhanjiang 524088, Peoples R China
[2] Zhejiang Univ Finance & Econ, Sch Math & Stat, Hangzhou 310018, Peoples R China
[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2011年 / 19卷 / 08期
基金：
中国博士后科学基金;
关键词：
backward heat equation; ill-posed problem; Tikhonov regularization method; discrepancy principle; error estimate; FOURIER REGULARIZATION;
D O I：
10.1080/17415977.2011.605885
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this article, a backward heat conduction problem is considered. A modified Tikhonov regularization method is presented and error estimates are obtained with an a priori strategy and an a posteriori choice rule to find the regularization parameter. Numerical tests show that the proposed method is effective and stable.
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页码：1175 / 1182
页数：8
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