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

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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.

论文关键词:Ill-posed problems,Sideways parabolic equation,Dual least squares method,Meyer wavelets,Regularization

论文评审过程:Received 22 September 2005, Revised 13 December 2005, Available online 27 March 2006.

论文官网地址:https://doi.org/10.1016/j.cam.2006.02.014