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math.NA2021
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects
Libo Feng, Ian Turner, Patrick Perre +1
In this work, a two-dimensional time-fractional subdiffusion model is developed to investigate the underlying transport phenomena evolving in a binary medium comprised of two sub-d…
math.NA2020
High-order numerical methods for the Riesz space fractional advection-dispersion equations
Libo Feng, Pinghui Zhuang, Fawang Liu +2
In this paper, we propose high-order numerical methods for the Riesz space fractional advection-dispersion equations (RSFADE) on a {f}inite domain. The RSFADE is obtained from the…
math.NA2018
A fast algorithm for semi-analytically solving the homogenization boundary value problem for block locally-isotropic heterogeneous media
Nathan G. March, Elliot J. Carr, Ian W. Turner
Direct numerical simulation of diffusion through heterogeneous media can be difficult due to the computational cost of resolving fine-scale heterogeneities. One method to overcome…