Numerical approximation of solution of nonhomogeneous backward heat conduction problem in bounded region

被引：24

作者：

Feng, Xiao-Li ^{[1
]}

Qian, Zhi ^{[1
]}

Fu, Chu-Li ^{[1
]}

机构：

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

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2008年 / 79卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Backward heat conduction; III-posed problem; Tikhonov regularization; Error estimate;

D O I：

10.1016/j.matcom.2007.11.005

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we consider a numerical approximation of solution of nonhomogeneous backward heat conduction problem (BHCP) in bounded region based on Tikhonov regularization method. Error estimate at t = 0 for this method is provided. According to the error estimate, a selection of regularization parameter is given. Meanwhile, a numerical implementation is described and the numerical results show that our algorithm is effective. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：177 / 188

页数：12

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