19 citations · 80 across the 17 of their papers we have counts for
5 papers · 2 filters
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…
Central local discontinuous Galerkin method for the space fractional diffusion equation
Jing Sun, Daxin Nie, Weihua Deng
This paper provides the semi-discrete scheme by the central local discontinuous Galerkin method for space fractional diffusion equation on two sets of overlapping cells, and then w…
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…