2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.NA2020★ 2 cited
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…
math.NA2019
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…
math.AP2019
Uniqueness of determining the variable fractional order in variable-order time-fractional diffusion equations
Xiangcheng Zheng, Jin Cheng, Hong Wang
We study an initial-boundary value problem of variable-order time-fractional diffusion equations in one space dimension. Based on the wellposedness of the proposed model and the sm…