A modified Tikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem

被引：33
|
作者：
Cheng, Wei [1 ]
Fu, Chu-Li [1 ]
Qian, Zhi [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2007年 / 75卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
ill-posed problem; spherically symmetric inverse heat conduction problem; regularization; error estimate; EQUATION; WAVELET;
D O I：
10.1016/j.matcom.2006.09.005
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper deals with a spherically symmetric three-dimensional inverse heat conduction problem of determining the internal surface temperature distribution of a hollow sphere from the measured data at a fixed location inside it. This is an ill-posed problem, i.e., the solution (if it exists) does not depend continuously on the data. A modified Tikhonov regularization method is given and an order optimal stability estimate is obtained. (C) 2006 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：97 / 112
页数：16
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