Two numerical methods for solving a backward heat conduction problem

被引：42
|
作者：
Xiong, Xiang-Tuan [1 ]
Fu, Chu-Li [1 ]
Qian, Zhi [1 ]
机构：
[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 179卷 / 01期
基金：
中国国家自然科学基金;
关键词：
inverse problem; backward heat conduction; central difference; quasi-reversibility; regularization;
D O I：
10.1016/j.amc.2005.11.114
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a central difference method and a quasi-reversibility method for solving a backward heat conduction problem (BHCP) numerically. For these two numerical methods, we give the stability analysis. Meanwhile, we investigate the roles of regularization parameters in these two methods. Numerical results show that our algorithm is effective. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：370 / 377
页数：8
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