4 citations · 9 across the 11 of their papers we have counts for
11 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…
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential
Yunzhuo Guo, Cheng Wang, Steven M. Wise +1
A finite difference numerical scheme is proposed and analyzed for the Cahn-Hilliard-Stokes system with Flory-Huggins energy functional. A convex splitting is applied to the chemica…
Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions
Xiangjun Meng, Xuelian Bao, Zhengru Zhang
We study the numerical algorithm and error analysis for the Cahn-Hilliard equation with dynamic boundary conditions. A second-order in time, linear and energy stable scheme is prop…
A Second-Order Energy Stable Backward Differentiation Formula Method for the Epitaxial Thin Film Equation with Slope Selection
Wenqiang Feng, Cheng Wang, Steven M. Wise +1
In this paper, we study a novel second-order energy stable Backward Differentiation Formula (BDF) finite difference scheme for the epitaxial thin film equation with slope selection…
High efficiently numerical simulation of the TDGL equation with reticular free energy in hydrogel
Jun Han, Hui Zhang, Zhengru Zhang
In this paper, we focus on the numerical simulation of phase separation about macromolecule microsphere composite (MMC) hydrogel. The model equation is based on Time-Dependent Ginz…
Convergence Analysis and Numerical Implementation of a Second Order Numerical Scheme for the Three-Dimensional Phase Field Crystal Equation
Lixiu Dong, Wenqiang Feng, Cheng Wang +2
In this paper we analyze and implement a second-order-in-time numerical scheme for the three-dimensional phase field crystal (PFC) equation. The numerical scheme was proposed in [4…