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
收藏
页码：177 / 188
页数：12
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