### A comparison of finite difference and finite volume methods for solving the space-fractional advection-dispersion equation with variable coefficients

#### Abstract

Transport processes within heterogeneous media may exhibit non-classical diffusion or dispersion which is not adequately described by the classical theory of Brownian motion and Fick's law. We consider a space-fractional advection-dispersion equation based on a fractional Fick's law. Zhang et al. [

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DOI: http://dx.doi.org/10.21914/anziamj.v54i0.6333

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