6 papers
Analytical and numerical investigation on the tempered time-fractional operator with application to the Bloch equation and the two-layered problem
Libo Feng, Fawang Liu, Vo V. Anh +1
In the continuous time random walk model, the time-fractional operator usually expresses an infinite waiting time probability density. Different from that usual setting, this work…
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…
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…
Novel numerical analysis for simulating the generalized 2D multi-term time fractional Oldroyd-B fluid model
Yanqin Liu, Fawang Liu, Libo Feng +1
In this paper, we consider the finite difference method for the generalized two-dimensional (2D) multi-term time-fractional Oldroyd-B fluid model, which is a subclass of non-Newton…
An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains
Libo Feng, Fawang Liu, Ian Turner
In this paper, we propose a novel unstructured mesh control volume method to deal with the space fractional derivative on arbitrarily shaped convex domains, which to the best of ou…
Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid
Libo Feng, Fawang Liu, Ian Turner +1
In recent years, non-Newtonian fluids have received much attention due to their numerous applications, such as plastic manufacture and extrusion of polymer fluids. They are more co…