3 papers
math.NA2026
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…
math.NA2025
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…
math.NA2025
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…