Wei Cheng, Ying-Qi Zhang, Chu-Li Fu
Abstract:
In this article, we consider an inverse heat conduction problem
with convection, which is ill-posed; i.e., the solution does
not depend continuously on the given data.
A special projection dual least squares method generated
by the family of Shannon wavelets is applied to formulate an
approximate solution. Also an optimal-order estimate for the error
between the approximate solution and exact solution is obtained.
Submitted February 5, 2013. Published May 17, 2013.
Math Subject Classifications: 65M30, 35R25, 35R30.
Key Words: Ill-posed problem; inverse heat conduction;
dual least squares method; Shannon wavelet; regularization.
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Wei Cheng College of Science, Henan University of Technology Zhengzhou 450001, China email: chwei670815@163.coma |
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Ying-Qi Zhang College of Science, Henan University of Technology Zhengzhou 450001, China email: zyq2018@126.com |
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Chu-Li Fu School of Mathematics and Statistics, Lanzhou University Lanzhou 730000, China email: fuchuli@lzu.edu.cn |
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