7 papers
A Second Order Positivity-Preserving Scheme for the Nonlocal Cahn-Hilliard System with Variable Mobility and Logarithmic Flory-Huggins Potential
Yuanyi Sheng, Zhengru Zhang
A second order finite difference scheme is analyzed for the nonlocal Cahn-Hilliard system with variable mobility and the singular Flory-Huggins logarithmic potential. The temporal…
Nonlocal modeling of opinion alignment and environmental feedback: Spatial aggregation and non-consensus patterns
Rui Wang, Yunfeng Xiong, Zhengru Zhang +1
The formation of public opinion in modern information environments is shaped by the interplay between social conformity and information exposure. While social interactions promote…
Convergence analysis of positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition
Yunzhuo Guo, Cheng Wang, Zhengru Zhang
The Cahn-Hilliard equation has a wide range of applications in many areas of physics and chemistry. To describe the short-range interaction between the solution and the boundary, s…
A positivity-preserving, second-order energy stable and convergent numerical scheme for a ternary system of macromolecular microsphere composite hydrogels
Lixiu Dong, Cheng Wang, Zhengru Zhang
A second order accurate numerical scheme is proposed and analyzed for the periodic three-component Macromolecular Microsphere Composite(MMC) hydrogels system, a ternary Cahn-Hillia…
A structure-preserving implicit exponential time differencing scheme for Maxwell-Amp`ere Nernst-Planck model
Yunzhuo Guo, Qian Yin, Zhengru Zhang
The transport of charged particles, which can be described by the Maxwell-Ampere Nernst-Planck (MANP) framework, is essential in various applications including ion channels and sem…
A uniquely solvable and positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition
Yunzhuo Guo, Cheng Wang, Steven M. Wise +1
In this paper we propose and analyze a finite difference numerical scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition. The singular logarithmic p…