A WAVELET METHOD FOR SOLVING BACKWARD HEAT CONDUCTION PROBLEMS

被引：0

作者：

Qiu, Chunyu ^{[1
]}

Feng, Xiaoli ^{[2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

基金：

中国国家自然科学基金;

关键词：

Backward heat equation; Ill-posed problem; regularization; Meyer wavelet; error estimate; CAUCHY-PROBLEM; REGULARIZED SOLUTION; LAPLACE-EQUATION; APPROXIMATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the backward heat conduction problem (BHCP). This classical problem is more severely ill-posed than some other problems, since the error of the data will be exponentially amplified at high frequency components. The Meyer wavelet method can eliminate the influence of the high frequency components of the noisy data. The known works on this method are limited to the a priori choice of the regularization parameter. In this paper, we consider also a posteriori choice of the regularization parameter. The Holder type stability estimates for both a priori and a posteriori choice rules are established. Moreover several numerical examples are also provided.

引用

页数：19

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