High-order energy stable variable-step schemes for the time-fractional Cahn-Hilliard model

DOI10.1016/j.matcom.2024.04.005MaRDI QIDQ6659316

Hong-lin Liao, Hai-Qing Zhang

Publication date: 9 January 2025

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

asymptotically compatiblediscrete gradient structureexponential scalar auxiliary variabletime-fractional Cahn-Hilliard modeladaptive time-stepping strategies

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• A new difference scheme for the time fractional diffusion equation
• The scalar auxiliary variable (SAV) approach for gradient flows
• A variant of scalar auxiliary variable approaches for gradient flows
• Numerical Analysis of a Continuum Model of Phase Transition
• The time-fractional Cahn–Hilliard equation: analysis and approximation
• Asymptotic Analysis on the Sharp Interface Limit of the Time-Fractional Cahn--Hilliard Equation
• The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
• A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows
• An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation
• A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem
• On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations
• The Variable-Step L1 Scheme Preserving a Compatible Energy Law for Time-Fractional Allen-Cahn Equation
• Energy stability of variable-step L1-type schemes for time-fractional Cahn-Hilliard model
• Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models
• A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations
• Global-in-time \(H^1\)-stability of \(\mathrm{L}2\)-\(1_\sigma\) method on general nonuniform meshes for subdiffusion equation
• Asymptotically compatible energy and dissipation law of the nonuniform L2-$1_{\sigma}$ scheme for time fractional Allen-Cahn model

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