Open Access Research Article

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

Wei Cheng1 and Chu-Li Fu2*

Author Affiliations

1 College of Science, Henan University of Technology, Zhengzhou 450001, China

2 School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China

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Boundary Value Problems 2009, 2009:260941  doi:10.1155/2009/260941

Published: 17 March 2009

Abstract

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.