$Spectral regularization method for a Cauchy problem of the time fractional advection–dispersion equation$
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Spectral regularization method for a Cauchy problem of the time fractional advection–dispersion equation

In this paper, a Cauchy problem for the time fractional advection–dispersion equation (TFADE) is investigated. Such a problem is obtained from the classical advection–dispersion equation by replacing the first-order time derivative by the Caputo fractional derivative of order α ( 0 < α ≤ 1 ) . We...

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Bibliographic Details
Published in:	Journal of computational and applied mathematics Vol. 233; no. 10; pp. 2631 - 2640
Main Authors:	Zheng, G.H., Wei, T.
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier B.V 15-03-2010 Elsevier
Subjects:	Caputo fractional derivative Cauchy problem Convergence estimate Exact sciences and technology Fourier transform Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical methods in probability and statistics Real functions Sciences and techniques of general use Spectral regularization method Time fractional advection–dispersion equation Fourier transform Convergence estimate Time fractional advection–dispersion equation Spectral regularization method Caputo fractional derivative Cauchy problem Spectral method Fourier transformation equation Fourier analysis Numerical method Stochastic method Time fractional advection-dispersion Bounded solution Convergence Exact solution Regularization method Numerical analysis Applied mathematics
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