29 citations · 37 across the 6 of their papers we have counts for
6 papers
The Cumulative Distribution Function Based Method for Random Drift Model
Chenghua Duan, Chun Liu, Xingye Yue
In this paper, we propose a numerical method to uniformly handle the random genetic drift model for pure drift with or without natural selection and mutation. For pure drift and na…
Structure-Preserving Numerical Methods for Nonlinear Fokker--Planck Equations with Nonlocal Interactions by an Energetic Variational Approach
Chenghua Duan, Wenbin Chen, Chun Liu +2
In this work, we develop novel structure-preserving numerical schemes for a class of nonlinear Fokker--Planck equations with nonlocal interactions. Such equations can cover many ca…
A second order accurate numerical scheme for the porous medium equation by an energetic variational approach
Chenghua Duan, Wenbin Chen, Chun Liu +2
The porous medium equation (PME) is a typical nonlinear degenerate parabolic equation. An energetic variational approach has been studied in a recent work [6], in which the traject…
Convergence analysis of a numerical scheme for the porous medium equation by an energetic variational approach
Chenghua Duan, Chun Liu, Cheng Wang +1
The porous medium equation (PME) is a typical nonlinear degenerate parabolic equation. We have studied numerical methods for PME by an energetic variational approach in [C. Duan et…
Numerical methods for Porous Medium Equation by an Energetic Variational Approach
Chenghua Duan, Chun Liu, Cheng Wang +1
We study numerical methods for porous media equation (PME). There are two important characteristics: the finite speed propagation of the free boundary and the potential waiting tim…
Numerical Complete Solution for Random Genetic Drift by Energetic Variational Approach
Chenghua Duan, Chun Liu, Cheng Wang +1
In this paper, we focus on numerical solutions for random genetic drift problem, which is governed by a degenerated convection-dominated parabolic equation. Due to the fixation phe…