81 citations · 93 across the 4 of their papers we have counts for
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Finite Element Methods for Fractional PDEs in Three Dimensions
Zongze Yang, Zhanbin Yuan, Yufeng Nie +1
This paper is a generalization of the previous work (Yang et.al, J. Comput. Phys. 330 (2017), 863-883) to the 3-D irregular convex domains. The analytical calculation formula of fr…
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…
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…
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…