Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 122, pp. 1-9.

Title: A wavelet regularization method for an inverse heat conduction
       problem with convection term
        
Authors: Wei Cheng     (Henan Univ. of Technology, Zhengzhou, China)
         Ying-Qi Zhang (Henan Univ. of Technology, Zhengzhou, China)
         Chu-Li Fu     (Lanzhou Univ., Lanzhou, China)

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.