89 citations · 296 across the 9 of their papers we have counts for
9 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…
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…
An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations
Zeting Liu, Fawang Liu, Fanhai Zeng
In this paper, we consider the initial boundary value problem of the two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations. An alternating directi…
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…
Differential quadrature method for space-fractional diffusion equations on 2D irregular domains
X. G. Zhu, Z. B. Yuan, F. Liu +1
In mathematical physics, the space-fractional diffusion equations are of particular interest in the studies of physical phenomena modelled by Lévy processes, which are sometimes ca…
Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains
Z. Yang, Z. Yuan, Y. Nie +3
In this paper, we consider two-dimensional Riesz space fractional diffusion equations with nonlinear source term on convex domains. Applying Galerkin finite element method in space…
A discrete time method to the first variation of fractional order variational functionals
Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres
The fact that the first variation of a variational functional must vanish along an extremizer is the base of most effective solution schemes to solve problems of the calculus of va…