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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, Zhengru Zhang
Beijing Normal University University of Massachusetts Dartmouth University of Tennessee at Knoxville
来源Journal of Computational and Applied Mathematics
年份2025
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材料 / 化学Solidification and crystal growth phenomena
Differential Equations and Numerical Methods · Advanced Mathematical Modeling in Engineering
参考文献 53
The Cahn–Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature
被引 313John W. Cahn, Charles M. Elliott, Amy Novick-Cohen · European Journal of Applied Mathematics · 1996
A numerical analysis of the Cahn-Hilliard equation with dynamic boundary conditions
被引 57Laurence Cherfils, Mădălina Petcu, Morgan Pierre · Discrete and Continuous Dynamical Systems · 2010
On the Cahn-Hilliard equation with a logarithmic free energy
被引 145Arnaud Debussche, Lucia Dettori · Nonlinear Analysis · 1995
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引用本文 4
Unconditionally energy stable Cahn-Hilliard equation using adaptive potential functions
被引 0Abdul Wahab, Abdullah Shah · International Journal of Computer Mathematics · 2026
An IGA-POD-DEIM framework for efficient simulation of a nonlinear diffuse-interface model of tumour growth based on a coupled Cahn-Hilliard–reaction-diffusion model: Energy-stable and error analysis
被引 0Mostafa Abbaszadeh · Journal of Computational Physics · 2026
A Stable, Linear Fully Discrete Scheme and Analysis for the Cahn–Hilliard Equation With Dynamic Boundary Condition
被引 0Dandan Xu, Zhengru Zhang · Numerical Methods for Partial Differential Equations · 2026
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