Title | ||
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A New Regularization Method for the Time Fractional Inverse Advection-Dispersion Problem |
Abstract | ||
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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. Zheng | 1 | 3 | 1.31 |
T. Wei | 2 | 87 | 18.96 |