A finite volume method for solving the two-sided time-space fractional advection-dispersion equation


Autoria(s): Hejazi, Hala; Moroney, Timothy; Liu, Fawang
Data(s)

01/10/2013

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

http://eprints.qut.edu.au/69053/

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