A Discrete Method Based on the CE-SE Formulation for the Fractional Advection-Dispersion Equation

Silvia Jerez and Ivan Dzib

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-9

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:303857

DOI: 10.1155/2015/303857

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