SAV method applied to fractional Allen-Cahn equation

DOI10.1007/978-3-030-39647-3_39zbMath1484.65280OpenAlexW3049617736MaRDI QIDQ2054360

Xiaolan Zhou, Chuanju Xu, Mejdi Aza ıïez

Publication date: 2 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-39647-3_39

zbMATH Keywords

spectral Galerkin methodfractional Allen-Cahn equationBDF

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Fractional partial differential equations (35R11)

Cites Work

• Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
• Applications of semi-implicit Fourier-spectral method to phase field equations
• Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
• The scalar auxiliary variable (SAV) approach for gradient flows
• What is the fractional Laplacian? A comparative review with new results
• A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations
• Spectral Methods
• High-Order Methods for Incompressible Fluid Flow
• Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations