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.