A finite volume method for solving the two-sided time-space fractional advection-dispersion equation
Data(s) |
01/10/2013
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Resumo |
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. |
Formato |
application/pdf |
Identificador | |
Publicador |
Springer Vienna |
Relação |
http://eprints.qut.edu.au/69053/1/CEJP_HalaY13m10d11.pdf http://link.springer.com/article/10.2478%2Fs11534-013-0317-y DOI:10.2478/s11534-013-0317-y Hejazi, Hala, Moroney, Timothy, & Liu, Fawang (2013) A finite volume method for solving the two-sided time-space fractional advection-dispersion equation. Central European Journal of Physics, 11(10), pp. 1275-1283. |
Direitos |
Copyright 2013 Versita sp. z o.o. The final publication is available at Springer via http://dx.doi.org/10.2478/s11534-013-0317-y |
Fonte |
School of Mathematical Sciences; Science & Engineering Faculty |
Palavras-Chave | #010302 Numerical Solution of Differential and Integral Equations #two-sided time-space fractional advection-dispersion #fractional Fick’s law #finite volume #finite difference #shifted Grünwald |
Tipo |
Journal Article |