Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636048 | Applied Mathematics and Computation | 2006 | 16 Pages |
Abstract
A non-standard inverse heat conduction problem is considered. Data are given along the line x = 1 and the solution at x = 0 is sought. The problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the data. In order to solve the problem numerically it is necessary to employ some regularization method. In this paper, we study a modification of the equation, where a fourth-order mixed derivative term is added. Error estimates for this equation are given, which show that the solution of the modified equation is an approximation of the heat equation. A numerical implementation is considered and a simple example is given. Some numerical results show the usefulness of the modified method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhi Qian, Chu-Li Fu, Xiang-Tuan Xiong,