Title
Some filter regularization methods for a backward heat conduction problem
Abstract
In this paper, a one-dimensional backward heat conduction problem is investigated. It is well known that such problem is ill-posed. Some filter regularization methods are used to solve it. Convergence estimates under two a-priori bound assumptions for the exact solution are given based on the conditional stabilities. Finally, numerical examples are given to show that our used numerical methods are effective and stable.
Year
DOI
Venue
2011
10.1016/j.amc.2011.05.038
Applied Mathematics and Computation
Keywords
Field
DocType
Backward heat conduction problem,Filter regularization methods,Convergence estimates,Conditional stabilities
Convergence (routing),Exact solutions in general relativity,Mathematical optimization,Mathematical analysis,Regularization (mathematics),Thermal conduction,Numerical analysis,Numerical linear algebra,Mathematics,Numerical stability
Journal
Volume
Issue
ISSN
217
24
0096-3003
Citations 
PageRank 
References 
4
0.68
3
Authors
2
Name
Order
Citations
PageRank
Hai-Hua Qin181.97
T. Wei28718.96