Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6421541 | Applied Mathematics and Computation | 2013 | 7 Pages |
Abstract
In this paper, a restrained optimal perturbation method is firstly proposed to solve the backward heat conduction problem, the initial temperature distribution will be identified from the overspecified data, a regularization term is introduced in the objective functional for overcoming the ill-posedness of this problem, spectral projected gradient algorithm is used to solve the optimal problem, and we give the sensitivity analysis of the initial value. The results of numerical experiments are also presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Bo Wang, Guang-an Zou, Qiang Wang,