Solving the Axisymmetric Inverse Heat Conduction Problem by a Wavelet Dual Least Squares Method

被引：7

作者：

Cheng, Wei ^{[2
]}

Fu, Chu-Li ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

[2] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2009年

基金：

中国国家自然科学基金;

关键词：

SIDEWAYS PARABOLIC EQUATION; SURFACE-TEMPERATURE; TIKHONOV; FLUX;

D O I：

10.1155/2009/260941

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an axisymmetric inverse heat conduction problem of determining the surface temperature from a fixed location inside a cylinder. This problem is ill-posed; the solution (if it exists) does not depend continuously on the data. A special project method-dual least squares method generated by the family of Shannon wavelet is applied to formulate regularized solution. Meanwhile, an order optimal error estimate between the approximate solution and exact solution is proved. Copyright (C) 2009 W. Cheng and C.-L. Fu.

引用

页数：13

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