Title
An optimal regularization method for space-fractional backward diffusion problem.
Abstract
In this paper, a space-fractional backward diffusion problem (SFBDP) in a strip is considered. By the Fourier transform, we proposed an optimal modified method to solve this problem in the presence of noisy data. The convergence estimates for the approximate solutions with the regularization parameter selected by an a priori and an a posteriori strategy are provided, respectively. Numerical experiments show that the proposed methods are effective and stable.
Year
DOI
Venue
2013
10.1016/j.matcom.2013.04.008
Mathematics and Computers in Simulation
Keywords
DocType
Volume
Ill-posed problem,Space-fractional backward diffusion problem,Regularization,Optimal error estimate,Discrepancy principle
Journal
92
Issue
ISSN
Citations 
null
0378-4754
0
PageRank 
References 
Authors
0.34
1
2
Name
Order
Citations
PageRank
Z. Q. Zhang151.34
T. Wei28718.96