5 citations · 7 across the 5 of their papers we have counts for
6 papers
iSMART: An Iterative Sampling-and-Regression Technique for Solving Martingale-Based PDEs
Tiejun Li, Xiaoguang Li, Fugui Ma
We propose the {\bf i}terative {\bf S}a{\bf M}pling-{\bf A}nd-{\bf R}egression {\bf T}echnique (iSMART) for high-dimensional martingale-based partial differential equations (PDEs)…
Dynamics of Chemotactic Gliding-Aggregation in Myxobacteria on Bounded Domains: Stochastic Modeling, Analysis, and Deep Neural Network Simulations
Fugui Ma, Zhimeng Ouyang, Wenyi Tian +1
Bacterial chemotactic movement and collective aggregation have long attracted substantial interest in mathematical biology and applied modeling. Classical Keller--Segel-type system…
Scaling crossover of the generalized Jeffreys-type law
Fugui Ma
The generalized Jeffreys-type law is formulated as a multi-term time-fractional Jeffreys-type equation, whose dynamics exhibit rich scaling crossover phenomena entailing different…
Mathematical modeling and analysis for the chemotactic diffusion in porous media with incompressible Navier-Stokes equations over bounded domain
Fugui Ma, Wenyi Tian, Weihua Deng
Myxobacteria aggregate and generate fruiting bodies in the soil to survive under starvation conditions. Considering soil as a porous medium, the biological mechanism and dynamic be…
The Contour integral method for Feynman-Kac equation with two internal states
Fugui Ma, Lijing Zhao, Yejuan Wang +1
We develop the contour integral method for numerically solving the Feynman-Kac equation with two internal states [P. B. Xu and W. H. Deng, Math. Model. Nat. Phenom., 13 (2018), 10]…
Analyses of the contour integral method for time fractional subdiffusion-normal transport equation
Fugui Ma, Lijing Zhao, Weihua Deng +1
In this work, we theoretically and numerically discuss the time fractional subdiffusion-normal transport equation, which depicts a crossover from sub-diffusion (as …