Numerical analysis of a linear second-order finite difference scheme for space-fractional Allen-Cahn equations
From MaRDI portal
Publication:2110472
DOI10.1186/s13662-022-03725-5OpenAlexW4294094023MaRDI QIDQ2110472
Publication date: 21 December 2022
Published in: Advances in Continuous and Discrete Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-022-03725-5
maximum principlefinite difference methodmaximum-norm errorenergy stabilityspace-fractional Allen-Cahn equation
Cites Work
- Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
- A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- A fourth-order scheme for incompressible Boussinesq equations
- Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation
- Analysis of a fourth-order finite difference method for the incompressible Boussinesq equations
- Stable second-order schemes for the space-fractional Cahn-Hilliard and Allen-Cahn equations
- An efficient second order stabilized scheme for the two dimensional time fractional Allen-Cahn equation
- Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations
- Discrete maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation
- A new second-order maximum-principle preserving finite difference scheme for Allen-Cahn equations with periodic boundary conditions
- A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
- Time-fractional Allen-Cahn equations: analysis and numerical methods
- A maximum-principle preserving and unconditionally energy-stable linear second-order finite difference scheme for Allen-Cahn equations
- Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach
- An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
- Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations
- A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance
- Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit
- Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
- Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
- Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle
- Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation
- A class of second order difference approximations for solving space fractional diffusion equations
- Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models
This page was built for publication: Numerical analysis of a linear second-order finite difference scheme for space-fractional Allen-Cahn equations