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

Authors:
Xiang-Tuan Xiong;Chu-Li Fu
Affiliations:
Department of Mathematics, Lanzhou University, Lanzhou 730000, People's Republic of China;Department of Mathematics, Lanzhou University, Lanzhou 730000, People's Republic of China
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

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.