Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations
Joint Authors
Li, Gongsheng
Zhang, Dali
Chi, Guangsheng
Jia, Xianzheng
Li, Huiling
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-24
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhang, Dali& Li, Gongsheng& Chi, Guangsheng& Jia, Xianzheng& Li, Huiling. 2012. Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1028991
Modern Language Association (MLA)
Zhang, Dali…[et al.]. Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-1028991
American Medical Association (AMA)
Zhang, Dali& Li, Gongsheng& Chi, Guangsheng& Jia, Xianzheng& Li, Huiling. Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1028991
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028991