58 citations · 143 across the 19 of their papers we have counts for
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Data-driven physics informed deep learning of solute transport with anomalous diffusion
Huan Liu, Hong Wang, Xiangcheng Zheng
The fractional advection-dispersion equation (FADE) has attracted increased attention from researchers as it provides an accurate description for challenging phenomenas with long-r…
Wellposedness of the two-sided variable coefficient Caputo flux fractional diffusion equation and error estimate of its spectral approximation
Xiangcheng Zheng, V. J. Ervin, Hong Wang
In this article a two-sided variable coefficient fractional diffusion equation (FDE) is investigated, where the variable coefficient occurs outside of the fractional integral opera…
Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension
Xiangcheng Zheng, V. J. Ervin, Hong Wang
In this article we consider the approximation of a variable coefficient (two-sided) fractional diffusion equation (FDE), having unknown . By introducing an intermediate unknown,…
A fast solver for spectral element approximation applied to fractional differential equations using hierarchical matrix approximation
Xianjuan Li, Zhiping Mao, Fangying Song +2
We develop a fast solver for the spectral element method (SEM) applied to the two-sided fractional diffusion equation on uniform, geometric and graded meshes. By approximating the…
Fractional Gray-Scott Model: Well-posedness, Discretization, and Simulations
Tingting Wang, Fangying Song, Hong Wang +1
The Gray-Scott (GS) model represents the dynamics and steady state pattern formation in reaction-diffusion systems and has been extensively studied in the past. In this paper, we c…