5 papers
Fully decoupled, linear and structure-preserving block-centered finite difference methods for the Keller-Segel chemotaxis system on staggered non-uniform grids
Jie Xu, Hongfei Fu
In this paper, we propose two fully decoupled, linear and structure-preserving block-centered finite difference schemes for the classical Keller-Segel chemotaxis system on staggere…
Unconditional optimal-order error estimates of linear relaxation compact difference scheme for the coupled nonlinear Schrödinger system
Ying Gao, Hongfei Fu, Xiaoying Wang
This paper presents a linear, decoupled, mass- and energy-conserving numerical scheme for the multi-dimensional coupled nonlinear Schrödinger (CNLS) system. The scheme combines the…
Error estimates of linear decoupled structure-preserving incremental viscosity splitting methods for the Cahn--Hilliard--Navier--Stokes system
Baolin Kuang, Hongfei Fu, Xiaoli Li
We propose first- and second-order time discretization schemes for the coupled Cahn--Hilliard--Navier--Stokes model, leveraging the incremental viscosity splitting (IVS) method. Th…
A decoupled linear, mass-conservative block-centered finite difference method for the Keller-Segel chemotaxis system
Jie Xu, Hongfei Fu
As a class of nonlinear partial differential equations, the Keller-Segel system is widely used to model chemotaxis in biology. In this paper, we present the construction and analys…
Fractional-step High-order and Bound-preserving Method for Convection Diffusion Equations
Baolin Kuang, Hongfei Fu, Shusen Xie
In this paper, we derive two bound-preserving and mass-conserving schemes based on the fractional-step method and high-order compact (HOC) finite difference method for nonlinear co…