A Discrete Method Based on the CE-SE Formulation for the Fractional Advection-Dispersion Equation
We obtain a numerical algorithm by using the space-time conservation element and solution element (CE-SE) method for the fractional advection-dispersion equation. The fractional derivative is defined by the Riemann-Liouville formula. We prove that the CE-SE approximation is conditionally stable unde...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/303857 |
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| Summary: | We obtain a numerical algorithm by using the space-time conservation element and solution element (CE-SE) method for
the fractional advection-dispersion equation. The fractional derivative is defined by the Riemann-Liouville
formula. We prove that the CE-SE approximation is conditionally stable under
mild requirements. A numerical simulation is
performed for the one-dimensional case by considering a benchmark with a discontinuous initial condition
in order to compare the results with the analytical solution. |
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| ISSN: | 1026-0226 1607-887X |