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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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/740385 |
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| _version_ | 1849309111792959488 |
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| author | Dali Zhang Gongsheng Li Guangsheng Chi Xianzheng Jia Huiling Li |
| author_facet | Dali Zhang Gongsheng Li Guangsheng Chi Xianzheng Jia Huiling Li |
| author_sort | Dali Zhang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0ccac993f337427da332cabfa9ede34a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-0ccac993f337427da332cabfa9ede34a2025-08-20T03:54:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/740385740385Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final ObservationsDali Zhang0Gongsheng Li1Guangsheng Chi2Xianzheng Jia3Huiling Li4Institute of Applied Mathematics, Shandong University of Technology, Zibo 255049, ChinaInstitute of Applied Mathematics, Shandong University of Technology, Zibo 255049, ChinaInstitute of Applied Mathematics, Shandong University of Technology, Zibo 255049, ChinaInstitute of Applied Mathematics, Shandong University of Technology, Zibo 255049, ChinaInstitute of Applied Mathematics, Shandong University of Technology, Zibo 255049, ChinaThis 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.http://dx.doi.org/10.1155/2012/740385 |
| spellingShingle | Dali Zhang Gongsheng Li Guangsheng Chi Xianzheng Jia Huiling Li Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations Journal of Applied Mathematics |
| title | Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations |
| title_full | Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations |
| title_fullStr | Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations |
| title_full_unstemmed | Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations |
| title_short | Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations |
| title_sort | numerical identification of multiparameters in the space fractional advection dispersion equation by final observations |
| url | http://dx.doi.org/10.1155/2012/740385 |
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