Convergence analysis of the maximum principle preserving BDF2 scheme with variable time-steps for the space fractional Allen-Cahn equation
DOI10.1016/j.cam.2024.115951MaRDI QIDQ6569182
Xuan Zhao, Bingqing Hu, Wei Zhang
Publication date: 8 July 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
convergenceadaptive time-stepping strategyspace fractional Allen-Cahn equationmodified discrete energyvariable-step BDF2
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Miscellaneous topics in partial differential equations (35Rxx) Parabolic equations and parabolic systems (35Kxx)
Cites Work
- Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- Stability and convergence analysis of finite difference schemes for time-dependent space-fractional diffusion equations with variable diffusion coefficients
- Waiting-times and returns in high-frequency financial data: An empirical study
- Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations
- Second-order maximum principle preserving Strang's splitting schemes for anisotropic fractional Allen-Cahn equations
- Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model
- Sharp error estimate of an implicit BDF2 scheme with variable time steps for the phase field crystal model
- Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions
- A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation
- On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation
- A Fourier spectral method for fractional-in-space Cahn-Hilliard equation
- Local discontinuous Galerkin scheme for space fractional Allen-Cahn equation
- A spatial fourth-order maximum principle preserving operator splitting scheme for the multi-dimensional fractional Allen-Cahn equation
- Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations
- A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations
- A dimensional splitting exponential time differencing scheme for multidimensional fractional Allen-Cahn equations
- A new linearized maximum principle preserving and energy stability scheme for the space fractional Allen-Cahn equation
- Error Analysis of a High Order Method for Time-Fractional Diffusion Equations
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- A Fractional Inpainting Model Based on the Vector-Valued Cahn--Hilliard Equation
- Limit theorem for continuous-time random walks with two time scales
- Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows
- On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation
- Crank--Nicolson Alternative Direction Implicit Method for Space-Fractional Diffusion Equations with Nonseparable Coefficients
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- A class of second order difference approximations for solving space fractional diffusion equations
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- A linear adaptive second‐order backward differentiation formulation scheme for the phase field crystal equation
- An implicit-explicit second-order BDF numerical scheme with variable steps for gradient flows
- Analytical and numerical dissipativity for the space-fractional Allen-Cahn equation
- An efficient and robust Lagrange multiplier approach with a penalty term for phase-field models
- A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility
- Second-order linear adaptive time-stepping schemes for the fractional Allen-Cahn equation
- An adaptive unconditional maximum principle preserving and energy stability scheme for the space fractional Allen-Cahn equation
This page was built for publication: Convergence analysis of the maximum principle preserving BDF2 scheme with variable time-steps for the space fractional Allen-Cahn equation