Non-iterative compact operator splitting scheme for Allen-Cahn equation

DOI10.1007/s40314-021-01648-7zbMath1476.35126OpenAlexW3204496186MaRDI QIDQ2052287

Seunggyu Lee

Publication date: 25 November 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-021-01648-7

zbMATH Keywords

stabilityoperator splittingAllen-Cahn equationhigh order compact scheme

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) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (2)

Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen-Cahn fluid models based on a modified SAV approach ⋮ Maximum principle preserving and unconditionally stable scheme for a conservative Allen-Cahn equation

Cites Work

• Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
• An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation
• Numerical approach to transient dynamics of oscillatory pulses in a bistable reaction-diffusion system
• Modelling phase transitions in alloys
• A second order operator splitting method for Allen-Cahn type equations with nonlinear source terms
• Motion by mean curvature of curves on surfaces using the Allen-Cahn Equation
• Conservative Allen-Cahn-Navier-Stokes system for incompressible two-phase fluid flows
• Fourth-order spatial and second-order temporal accurate compact scheme for Cahn-Hilliard equation
• Numerical analysis for fourth-order compact conservative difference scheme to solve the 3D Rosenau-RLW equation
• Energy stable compact scheme for Cahn-Hilliard equation with periodic boundary condition
• Phase-field simulations of crystal growth in a two-dimensional cavity flow
• Fourth‐order compact schemes of a heat conduction problem with Neumann boundary conditions

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