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

页码：38 / 43

页数：6

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