The Variable-Step L1 Scheme Preserving a Compatible Energy Law for Time-Fractional Allen-Cahn Equation

DOI10.4208/nmtma.OA-2022-0011sMaRDI QIDQ5885664

Jindi Wang, Xiaohan Zhu, Hong-lin Liao

Publication date: 4 April 2023

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.07577

zbMATH Keywords

variational energy dissipation lawtime-fractional Allen-Cahn equationorthogonal convolution kernelsadaptive L1 schemecomplementary convolution kernels

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) 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) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Compatible Energy Dissipation of the Variable-Step \({\boldsymbol{L1}}\) Scheme for the Space-Time Fractional Cahn-Hilliard Equation, Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models, Numerical analysis of the nonuniform fast L1 formula for nonlinear time-space fractional parabolic equations, A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation, 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, Unnamed Item

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