The Reconstruction of Heat Flux in Moving Boundary in 1-Dimensional Heat Conduction
Consider the reconstruction problem for the heat flux in moving boundary in heat conduction.By introducing a density function for potential method, this problem is essentially converted into solving an integral equation of the first kind with respect to the density function,which can be solved by the Tikhonov regularizing method. Model function method is used to determine the regularizing parameter. Numerical results are presented to support our inversion schemes.
Jingtao Han, Zhengyi Jiang and Sihai Jiao
X. Y. Zhang and F. Huang, "The Reconstruction of Heat Flux in Moving Boundary in 1-Dimensional Heat Conduction", Advanced Materials Research, Vols. 156-157, pp. 237-240, 2011