International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 8, Pages 1221-1237
Optimal Tikhonov approximation for a sideways parabolic equation
1Department of Mathematics, Lanzhou University, Lanzhou 730000, China
2Institute of Network, School of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China
Received 27 April 2004; Revised 31 December 2004
Copyright © 2005 Chu-Li Fu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We consider an inverse heat conduction problem with convection term
which appears in some applied subjects. This problem is ill posed
in the sense that the solution (if it exists) does not depend
continuously on the data. A generalized Tikhonov regularization
method for this problem is given, which realizes the best possible accuracy.