Stable finite difference scheme for a model equation of phase separation.
DOI10.1016/S0096-3003(03)00325-4zbMath1051.65084OpenAlexW2018421584MaRDI QIDQ1428404
Takao Hanada, Naoyuki Ishimura, MasaAki Nakamura
Publication date: 29 March 2004
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00325-4
stabilitynumerical examplesCahn-Hilliard equationLyapunov functionalmodelFinite difference schemePhase separationEguchi-Oki-Matsumura
Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items
Cites Work
- Unnamed Item
- On the Cahn-Hilliard equation
- Infinite-dimensional dynamical systems in mechanics and physics
- A stable, convergent, conservative and linear finite difference scheme for the Cahn-Hilliard equation
- Existence of solution for Eguchi-Oki-Matsumura equation describing phase separation and order-disorder transition in binary alloys
- Finite difference schemes for \(\frac{\partial u}{\partial t}=(\frac{\partial}{\partial x})^\alpha\frac{\delta G}{\delta u}\) that inherit energy conservation or dissipation property
- Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
- Numerical Analysis of a Continuum Model of Phase Transition
- A Nonconforming Finite-Element Method for the Two-Dimensional Cahn–Hilliard Equation
- ICIAM/GAMM 95 Applied sciences, especially Mechanics Minisymposia Contributions
- On the Eguchi--Oki--Matsumura Equation for Phase Separation in One Space Dimension
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Note on steady solutions of the Eguchi-Oki-Matsumura equation
- A stable and conservative finite difference scheme for the Cahn-Hilliard equation
