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- W2022252005 abstract "Abstract We present a finite volume method to solve the time-space two-sided fractional advection-dispersion equation on a one-dimensional domain. The spatial discretisation employs fractionally-shifted Grünwald formulas to discretise the Riemann-Liouville fractional derivatives at control volume faces in terms of function values at the nodes. We demonstrate how the finite volume formulation provides a natural, convenient and accurate means of discretising this equation in conservative form, compared to using a conventional finite difference approach. Results of numerical experiments are presented to demonstrate the effectiveness of the approach." @default.
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- W2022252005 date "2013-01-01" @default.
- W2022252005 modified "2023-09-27" @default.
- W2022252005 title "A finite volume method for solving the two-sided time-space fractional advection-dispersion equation" @default.
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- W2022252005 doi "https://doi.org/10.2478/s11534-013-0317-y" @default.
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