44 citations · 96 across the 8 of their papers we have counts for
8 papers
The impact of microscale physics in continuous time random walks for hydrodynamic dispersion in disordered media
Xiangnan Yu, Marco Dentz, HongGuang Sun +1
The continuous time random walk (CTRW) approach has been widely applied to model large-scale non-Fickian transport in the flow through disordered media. Often, the underlying micro…
COVID-19 infection and recovery in various countries: Modeling the dynamics and evaluating the non-pharmaceutical mitigation scenarios
Yong Zhang, Xiangnan Yu, HongGuang Sun +3
The coronavirus disease 2019 (COVID-19) pandemic radically impacts our lives, while the transmission/infection and recovery dynamics of COVID-19 remain obscure. A time-dependent Su…
Distributed order Hausdorff derivative diffusion model to characterize non-Fickian diffusion in porous media
Yingjie Liang, Wen Chen, Wei Xu +1
Many theoretical and experimental results show that solute transport in heterogeneous porous media exhibits multi-scaling behaviors. To describe such non-Fickian diffusions, this w…
A scale-dependent finite difference method for time fractional derivative relaxation type equations
XiaoTing Liu, HongGuang Sun, Yong Zhang +1
Fractional derivative relaxation type equations (FREs) including fractional diffusion equation and fractional relaxation equation, have been widely used to describe anomalous pheno…
Fractional constitutive equation (FACE) for non-Newtonian fluid flow: Theoretical description
HongGuang Sun, Yong Zhang, Song Wei +1
Non-Newtonian fluid flow might be driven by spatially nonlocal velocity, the dynamics of which can be described by promising fractional derivative models. This short communication…
A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion
HongGuang Sun, Xiaoting Liu, Yong Zhang +2
Anomalous diffusion is a common phenomenon observed in underground solute transport, soil water infiltration and sediment movement, etc. Time and space fractional derivative advect…
Fractional derivative defined by non-singular kernels to capture anomalous relaxation and diffusion
HongGuang Sun, Xiaoxiao Hao, Yong Zhang +1
Anomalous relaxation and diffusion processes have been widely characterized by fractional derivative models, where the definition of the fractional-order derivative remains a histo…
A Dynamic-Order Fractional Dynamic System
HongGuang Sun, Hu Sheng, YangQuan Chen +2
Multi-system interaction is an important and difficult problem in physics. Motivated by the experimental result of an electronic circuit element "Fractor", we introduce the concept…