Determining surface temperature and heat flux by a wavelet dual least squares method

被引：10
|
作者：
Xiong, Xiang-Tuan [1 ]
Fu, Chu-Li [1 ]
机构：
[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 201卷 / 01期
基金：
中国国家自然科学基金;
关键词：
ill-posed problems; sideways parabolic equation; dual least squares method; Meyer wavelets; regularization;
D O I：
10.1016/j.cam.2006.02.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We apply a wavelet dual least squares method to a general sideways parabolic equation for determining surface temperature and surface heat flux. Connecting Meyer wavelet bases with a special project method dual least squares method, we can obtain a regularized solution. Meanwhile, order optimal error estimates between the approximate solution and exact solution are proved. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：198 / 207
页数：10
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