Stable finite difference scheme for a model equation of phase separation.
type: Item
instance of: scholarly article
title: Stable finite difference scheme for a model equation of phase separation.
zbMATH Open document ID: 1051.65084
DOI: 10.1016/S0096-3003(03)00325-4
author: Takao Hanada
author: Naoyuki Ishimura
author: MasaAki Nakamura
published in: Applied Mathematics and Computation
publication date: 2004-03-29T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 2062687
zbMATH Keywords: Phase separation
zbMATH Keywords: Eguchi-Oki-Matsumura
zbMATH Keywords: model
zbMATH Keywords: Finite difference scheme
zbMATH Keywords: Cahn-Hilliard equation
zbMATH Keywords: Lyapunov functional
zbMATH Keywords: numerical examples
zbMATH Keywords: stability
MaRDI profile type: Publication
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
cites work: Numerical Analysis of a Continuum Model of Phase Transition
cites work: Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
cites work: A Nonconforming Finite-Element Method for the Two-Dimensional Cahn–Hilliard Equation
cites work: On the Cahn-Hilliard equation
cites work: 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
cites work: A stable and conservative finite difference scheme for the Cahn-Hilliard equation
cites work: A stable, convergent, conservative and linear finite difference scheme for the Cahn-Hilliard equation
cites work: ICIAM/GAMM 95 Applied sciences, especially Mechanics Minisymposia Contributions
cites work: Note on steady solutions of the Eguchi-Oki-Matsumura equation
cites work: On the Eguchi--Oki--Matsumura Equation for Phase Separation in One Space Dimension
cites work: Q4499758
cites work: Existence of solution for Eguchi-Oki-Matsumura equation describing phase separation and order-disorder transition in binary alloys
cites work: Infinite-dimensional dynamical systems in mechanics and physics
full work available at URL: s0096-3003(03)00325-4
OpenAlex ID: W2018421584
description: scientific article; zbMATH DE number 2062687