Boundary Value Problems
Volume 2009 (2009), Article ID 260941, 13 pages
doi:10.1155/2009/260941
Solving the axisymmetric inverse heat conduction problem by a wavelet dual least squares method
Wei Cheng1
and Chu-Li Fu2
1College of Science, Henan University of Technology, Zhengzhou 450001, China
2School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China
Abstract
We consider an axisymmetric inverse heat conduction problem of determining the surface temperature from a fixed location inside a cylinder. This problem is ill-posed; the solution (if it exists) does not depend continuously on the data. A special project method-dual least squares method generated by the family of Shannon wavelet is applied to formulate regularized solution. Meanwhile, an order optimal error estimate between the approximate solution and exact solution is proved.