659 citations · 2.4k across the 64 of their papers we have counts for
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Numerical scheme for the Fokker-Planck equations describing anomalous diffusions with two internal states
Daxin Nie, Jing Sun, Weihua Deng
Recently, the fractional Fokker-Planck equations (FFPEs) with multiple internal states are built for the particles undergoing anomalous diffusion with different waiting time distri…
High order algorithms for Fokker-Planck equation with Caputo-Fabrizio fractional derivative
Minghua Chen, Jiankang Shi, Weihua Deng
Based on the continuous time random walk, we derive the Fokker-Planck equations with Caputo-Fabrizio fractional derivative, which can effectively model a variety of physical phenom…
Numerical algorithms of the two-dimensional Feynman-Kac equation for reaction and diffusion processes
Daxin Nie, Jing Sun, Weihua Deng
This paper provides a finite difference discretization for the backward Feynman-Kac equation, governing the distribution of functionals of the path for a particle undergoing both r…
A reduced finite element formulation for space fractional partial differential equation
Jing Sun, Daxin Nie, Weihua Deng
Applying proper orthogonal decomposition to a usual finite element (FE) formulation for space fractional partial differential equation, we get a reduced FE model, which greatly red…
Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian
Jing Sun, Daxin Nie, Weihua Deng
Tempered fractional Laplacian is the generator of the tempered isotropic Lévy process [W.H. Deng, B.Y. Li, W.Y. Tian, and P.W. Zhang, Multiscale Model. Simul., 16(1), 125-149, 2018…
Levy walk with multiple internal states
Pengbo Xu, Weihua Deng
Levy walk is a fundamental model with applications ranging from quantum physics to paths of animal foraging. Taking animal foraging as an example, a natural idea that comes to one'…