Title
A New Regularization Method for the Time Fractional Inverse Advection-Dispersion Problem
Abstract
In this paper, we consider the time fractional inverse advection-dispersion problem (TFIADP) in a quarter plane. The solute concentration and dispersion flux are sought from a measured concentration history at a fixed location inside the body. Such a problem is obtained from the classical advection-dispersion equation by replacing the first-order time derivative with the Caputo fractional derivative of order $\alpha$ ($0
Year
DOI
Venue
2011
10.1137/100783042
SIAM J. Numerical Analysis
Keywords
Field
DocType
first-order time derivative,dispersion flux,classical advection-dispersion equation,solute concentration,new regularization method,quarter plane,time fractional inverse advection-dispersion,measured concentration history,fixed location
Exact solutions in general relativity,Convergence (routing),Inverse,Mathematical optimization,Mathematical analysis,Fourier transform,Time derivative,Regularization (mathematics),Fractional calculus,Numerical analysis,Mathematics
Journal
Volume
Issue
ISSN
49
5
0036-1429
Citations 
PageRank 
References 
3
1.31
9
Authors
2
Name
Order
Citations
PageRank
G. H. Zheng131.31
T. Wei28718.96