A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations

DOI10.4208/cicp.oa-2022-0148zbMath1514.65105arXiv2202.12192OpenAlexW4372353560MaRDI QIDQ6111293

Chaoyu Quan, Jiang Yang, Tao Tang, Unnamed Author

Publication date: 6 July 2023

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.12192

zbMATH Keywords

energy dissipationL2 approximationL1 approximationtime-fractional Allen-Cahn equation

Mathematics Subject Classification ID

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) Fractional partial differential equations (35R11)

Related Items (5)

Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models ⋮ Unconditional energy dissipation law and optimal error estimate of fast L1 schemes for a time-fractional Cahn-Hilliard problem ⋮ Variable-step numerical schemes and energy dissipation laws for time fractional Cahn-Hilliard model ⋮ A Unified Design of Energy Stable Schemes with Variable Steps for Fractional Gradient Flows and Nonlinear Integro-differential Equations ⋮ Asymptotically compatible energy of two variable-step fractional BDF2 schemes for the time fractional Allen-Cahn model

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