Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations

This paper deals with an inverse problem for identifying multiparameters in 1D space fractional advection dispersion equation (FADE) on a finite domain with final observations. The parameters to be identified are the fractional order, the diffusion coefficient, and the average velocity in the FADE....

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Bibliographic Details
Published in:Journal of Applied Mathematics Vol. 2012; no. 2012; pp. 147 - 160-609
Main Authors: Jia, Xianzheng, Chi, Guangsheng, Li, Gongsheng, Zhang, Dali, Li, Huiling
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Limiteds 01.01.2012
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects:
Algorithms
Flow velocity
Inverse problems
Mathematical models
Noise
Numerical analysis
Optimization
Studies
ISSN:1110-757X, 1687-0042
Online Access:Get full text
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Summary:This paper deals with an inverse problem for identifying multiparameters in 1D space fractional advection dispersion equation (FADE) on a finite domain with final observations. The parameters to be identified are the fractional order, the diffusion coefficient, and the average velocity in the FADE. The forward problem is solved by a finite difference scheme, and then an optimal perturbation regularization algorithm is introduced to determine the three parameters simultaneously. Numerical inversions are performed both with the accurate data and noisy data, and several factors having influences on realization of the algorithm are discussed. The inversion solutions are in good approximations to the exact solutions demonstrating the efficiency of the proposed algorithm.
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ISSN:1110-757X
1687-0042
DOI:10.1155/2012/740385