58 citations · 143 across the 19 of their papers we have counts for
19 papers
High-order nonuniform time-stepping and MBP-preserving linear schemes for the time-fractional Allen-Cahn equation
Bingyin Zhang, Hongfei Fu
In this paper, we present a class of nonuniform time-stepping, high-order linear stabilized schemes that can preserve both the discrete energy stability and maximum-bound principle…
A generalized fractional Laplacian
Xiangcheng Zheng, V. J. Ervin, Hong Wang
In this article we show that the fractional Laplacian in can be factored into a product of the divergence operator, a Riesz potential operator, and the gradient operator. U…
Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations
Xiangcheng Zheng, V. J. Ervin, Hong Wang
In this paper we investigate the variable coefficient two-sided fractional diffusion, advection, reaction equations on a bounded interval. It is known that the fractional diffusion…
Time fractional stochastic differential equations driven by pure jump Lévy noise
Peixue Wu, Zhiwei Yang, Hong Wang +1
In this paper we introduce a variable order time fractional differential equation driven by pure jump Lévy noise, which models the motion of a particle exhibiting memory effect. We…
Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval
Xiangcheng Zheng, V. J. Ervin, Hong Wang
In this paper we investigate the numerical approximation of the fractional diffusion, advection, reaction equation on a bounded interval. Recently the explicit form of the solution…
A fast method for variable-order space-fractional diffusion equations
Jinhong Jia, Xiangcheng Zheng, Hong Wang
We develop a fast divided-and-conquer indirect collocation method for the homogeneous Dirichlet boundary value problem of variable-order space-fractional diffusion equations. Due t…