Title
Numerical approximation of solution of nonhomogeneous backward heat conduction problem in bounded region
Abstract
In this paper we consider a numerical approximation of solution of nonhomogeneous backward heat conduction problem (BHCP) in bounded region based on Tikhonov regularization method. Error estimate at t=0 for this method is provided. According to the error estimate, a selection of regularization parameter is given. Meanwhile, a numerical implementation is described and the numerical results show that our algorithm is effective.
Year
DOI
Venue
2008
10.1016/j.matcom.2007.11.005
Mathematics and Computers in Simulation
Keywords
Field
DocType
tikhonov regularization,conduction problem,tikhonov regularization method,ill-posed problem,error estimate,numerical implementation,numerical approximation,bounded region,regularization parameter,numerical result,backward heat conduction,heat conduction
Tikhonov regularization,Mathematical optimization,Mathematical analysis,Regularization (mathematics),Numerical approximation,Thermal conduction,Approximation error,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
79
2
Mathematics and Computers in Simulation
Citations 
PageRank 
References 
4
0.87
3
Authors
3
Name
Order
Citations
PageRank
Xiao-Li Feng1339.27
Zhi Qian2417.81
Chu-Li Fu314228.78