6 papers
A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system
Ao Zhang, Bingyin Zhang, Hongfei Fu
In this paper, we present a linearly implicit, second-order block-centered finite difference (BCFD) prediction-then-projection scheme for the multi-species Keller-Segel chemotaxis…
A variable time-step, second-order, and MBP-preserving linear stabilized scheme for the time-fractional Allen-Cahn equation
Bingyin Zhang, Ao Zhang, Hongfei Fu
In this paper, we present a second-order linear scheme based on the variable-step Alikhanov formula and central difference discretization for the time-fractional Allen-Cahn equatio…
High-order nonuniform time-stepping and MBP-preserving linear schemes for the time-fractional Allen-Cahn equation
Bingyin Zhang, Hongfei Fu
In this paper, we present a class of nonuniform time-stepping, high-order linear stabilized schemes that can preserve both the discrete energy stability and maximum-bound principle…
Numerical analysis and efficient implementation of fast collocation methods for fractional Laplacian model on nonuniform grids
Meijie Kong, Hongfei Fu
We propose a fast collocation method based on Krylov subspace iterative solver on general nonuniform grids for the fractional Laplacian problem, in which the fractional operator is…
Dynamic-stabilization-based linear schemes for the Allen-Cahn equation with degenerate mobility: MBP and energy stability
Hongfei Fu, Dianming Hou, Zhonghua Qiao +1
In this paper, we investigate linear first- and second-order numerical schemes for the Allen--Cahn equation with a general (possibly degenerate) mobility. Compared with existing nu…
Energy dissipation law and maximum bound principle-preserving linear BDF2 schemes with variable steps for the Allen-Cahn equation
Bingyin Zhang, Hongfei Fu, Rihui Lan +1
In this paper, we propose and analyze a linear, structure-preserving scalar auxiliary variable (SAV) method for solving the Allen--Cahn equation based on the second-order backward…