81 citations · 106 across the 15 of their papers we have counts for
5 papers · 2 filters
An efficient differential quadrature method for fractional advection-diffusion equation
X. G. Zhu, Y. F. Nie, W. W. Zhang
This article studies a direct numerical approach for fractional advection-diffusion equations (ADEs). Using a set of cubic trigonometric B-splines as test functions, a differential…
Maximum-norm error analysis of compact difference schemes for the backward fractional Feynman-Kac equation
Jiahui Hu, Jungang Wang, Zhanbin Yuan +2
The fractional Feynman-Kac equations describe the distribution of functionals of non-Brownian motion, or anomalous diffusion, including two types called the forward and backward fr…
Effective numerical treatment of sub-diffusion equation with non-smooth solution
Zongze Yang, Jungang Wang, Yan Li +1
In this paper we investigate a sub-diffusion equation for simulating the anomalous diffusion phenomenon in real physical environment. Based on an equivalent transformation of the o…
On a collocation method for the time-fractional convection-diffusion equation with variable coefficients
Xiaogang Zhu, Yufeng Nie
In this work, a new collocation approach using a combination of a wavelet operational matrix method and the exponential spline interpolation is proposed to solve the time-fractiona…
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…