Fourier regularization for a backward heat equation

被引：131

作者：

Fu, Chu-Li ^{[1
]}

Xiong, Xiang-Tuan ^{[1
]}

Qian, Zhi ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 331卷 / 01期

基金：

中国国家自然科学基金;

关键词：

backward heat equation; III-posed problem; Fourier regularization; error estimate;

D O I：

10.1016/j.jmaa.2006.08.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a simple and convenient new regularization method for solving backward heat equation-Fourier regularization method is given. Meanwhile, some quite sharp error estimates between the approximate solution and exact solution are provided. A numerical example also shows that the method works effectively. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：472 / 480

页数：9

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