A regularization method for solving the radially symmetric backward heat conduction problem

被引：11
|
作者：
Cheng, Wei [1 ]
Ma, Yun-Jie [2 ]
Fu, Chu-Li [3 ]
机构：
[1] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China
[2] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[3] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2014年 / 30卷
基金：
中国国家自然科学基金;
关键词：
Ill-posed problem; Backward heat equation; Regularization; Error estimate;
D O I：
10.1016/j.aml.2013.12.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is devoted to solving the radially symmetric backward heat conduction problem, starting from the final temperature distribution. The problem is ill-posed: the solution (if it exists) does not depend continuously on the given data. A modified Tikhonov regularization method is proposed for solving this inverse problem. A quite sharp estimate of the error between the approximate solution and the exact solution is obtained with a suitable choice of regularization parameter. A numerical example is presented to verify the efficiency and accuracy of the method. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：38 / 43
页数：6
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