Title
A posteriori regularization parameter choice rule for the quasi-boundary value method for the backward time-fractional diffusion problem.
Abstract
In this paper, we consider a backward problem for a time-fractional diffusion equation with variable coefficients in a general bounded domain. That is to determine the initial data from a noisy final data. We propose a quasi-boundary value regularization method combined with an a posteriori regularization parameter choice rule to deal with the backward problem and give the corresponding convergence estimate.
Year
DOI
Venue
2013
10.1016/j.aml.2013.02.006
Applied Mathematics Letters
Keywords
Field
DocType
Backward problem,Fractional diffusion equation,Quasi-boundary value method,Convergence analysis,A posteriori parameter choice rule
Convergence (routing),Mathematical optimization,Mathematical analysis,A priori and a posteriori,Regularization (mathematics),Boundary value methods,Fractional diffusion,Diffusion equation,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
26
7
0893-9659
Citations 
PageRank 
References 
4
0.52
4
Authors
3
Name
Order
Citations
PageRank
Jun-Gang Wang141.88
Yubin Zhou2295.13
T. Wei38718.96