Fourier regularization method for solving a Cauchy problem for the Laplace equation

被引：58

作者：

Fu, C. -L. ^{[1
]}

Li, H. -F. ^{[1
]}

Qian, Z. ^{[1
]}

Xiong, X. -T. ^{[1
]}

机构：

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

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2008年 / 16卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Cauchy problem for the Laplace equation; Ill-posed problem; Fourier regularization; error estimate;

D O I：

10.1080/17415970701228246

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this article, we use Fourier method to solve a Cauchy problem for the Laplace equation in a strip region, the method is rather simple and convenient. Meanwhile, we overstep the Holder continuity and provide some more sharp error estimates between the exact solution and its approximation. Numerical examples also show that the method work effectively.

引用

页码：159 / 169

页数：11

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