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

页码：198 / 207

页数：10

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