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A finite volume method for solving the two-sided time-space fractional advection-dispersion equation.
- Source :
- Central European Journal of Physics; Oct2013, Vol. 11 Issue 10, p1275-1283, 9p
- Publication Year :
- 2013
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 18951082
- Volume :
- 11
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- Central European Journal of Physics
- Publication Type :
- Academic Journal
- Accession number :
- 93254823
- Full Text :
- https://doi.org/10.2478/s11534-013-0317-y