a discrete method based on the ce-se formulation for the fractional advection-dispersion equation
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ID: 148554
2015
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Abstract
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.
| Reference Key |
jerez2015discretea
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|---|---|
| Authors | ;Silvia Jerez;Ivan Dzib |
| Journal | Journal of the American Heart Association |
| Year | 2015 |
| DOI |
10.1155/2015/303857
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| URL | |
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