Asymptotically compatible energy of two variable-step fractional BDF2 schemes for the time fractional Allen-Cahn model
DOI10.1016/j.aml.2023.108942MaRDI QIDQ6202723
Zhiyong Xing, Hai-Qing Zhang, Nan Liu
Publication date: 27 February 2024
Published in: Applied Mathematics Letters (Search for Journal in Brave)
scalar auxiliary variabletime fractional Allen-Cahn equationasymptotically compatible energyfractional BDF2 formula
Asymptotic behavior of solutions to PDEs (35B40) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fractional partial differential equations (35R11) Ginzburg-Landau equations (35Q56) Integro-partial differential equations (35R09)
Cites Work
- The scalar auxiliary variable (SAV) approach for gradient flows
- A novel adaptive Crank-Nicolson-type scheme for the time fractional Allen-Cahn model
- Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation
- A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
- A variant of scalar auxiliary variable approaches for gradient flows
- An Adaptive Time-Stepping Strategy for the 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
- 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
- A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations
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