4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.NA2025
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…
math.NA2024★ 4 cited
Maximum-Norm Error Estimates of Fourth-Order Compact and ADI Compact Finite Difference Methods for Nonlinear Coupled Bacterial Systems
Jie Xu, Shusen Xie, Hongfei Fu
In this paper, by introducing two temporal-derivative-dependent auxiliary variables, a linearized and decoupled fourth-order compact finite difference method is developed and analy…
math.NA2023
A second-order SO(3)-preserving and energy-stable scheme for orthonormal frame gradient flow model of biaxial nematic liquid crystals
Hanbin Wang, Jie Xu, Zhiguo Yang
In this paper, we present a novel second-order generalised rotational discrete gradient scheme for numerically approximating the orthonormal frame gradient flow of biaxial nematic…