Title
Two numerical methods for solving a backward heat conduction problem
Abstract
We introduce a central difference method and a quasi-reversibility method for solving a backward heat conduction problem (BHCP) numerically. For these two numerical methods, we give the stability analysis. Meanwhile, we investigate the roles of regularization parameters in these two methods. Numerical results show that our algorithm is effective.
Year
DOI
Venue
2006
10.1016/j.amc.2005.11.114
Applied Mathematics and Computation
Keywords
Field
DocType
Inverse problem,Backward heat conduction,Central difference,Quasi-reversibility,Regularization
Mathematical analysis,Finite difference,Regularization (mathematics),Inverse problem,Thermal conduction,Numerical analysis,Finite volume method,Mathematics,Numerical linear algebra
Journal
Volume
Issue
ISSN
179
1
0096-3003
Citations 
PageRank 
References 
7
0.75
1
Authors
3
Name
Order
Citations
PageRank
Xiang-Tuan Xiong17720.18
Chu-Li Fu214228.78
Zhi Qian3417.81