A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation
From MaRDI portal
Publication:6111366
DOI10.1007/s10915-023-02263-warXiv2302.13021OpenAlexW4380789993MaRDI QIDQ6111366
Cheng-Ming Huang, Baoli Yin, Anatoly A. Alikhanov, Guoyu Zhang
Publication date: 6 July 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.13021
difference schememaximum-principlediscrete energy decayshifted fractional trapezoidal ruletime-fractional Allen-Cahn equation
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)
Related Items (1)
Cites Work
- On the maximum principle preserving schemes for the generalized Allen-Cahn equation
- A new difference scheme for the time fractional diffusion equation
- Collocation methods for fractional integro-differential equations with weakly singular kernels
- Too much regularity may force too much uniqueness
- A compact finite difference scheme for the fractional sub-diffusion equations
- Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations
- The unified theory of shifted convolution quadrature for fractional calculus
- Necessity of introducing non-integer shifted parameters by constructing high accuracy finite difference algorithms for a two-sided space-fractional advection-diffusion model
- Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
- An efficient second order stabilized scheme for the two dimensional time fractional Allen-Cahn equation
- A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach
- Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes
- A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
- Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation
- An efficient spline collocation method for a nonlinear fourth-order reaction subdiffusion equation
- Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint
- Optimal \(H^1\) spatial convergence of a fully discrete finite element method for the time-fractional Allen-Cahn equation
- Time-fractional Allen-Cahn equations: analysis and numerical methods
- Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach
- Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data
- Finite difference method for two-dimensional nonlinear time-fractional subdiffusion equation
- Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
- Finite difference/finite element methods for distributed-order time fractional diffusion equations
- Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations
- A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term
- An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection
- Discretized Fractional Calculus
- Highly Efficient and Energy Dissipative Schemes for the Time Fractional Allen--Cahn Equation
- Snakes, shapes, and gradient vector flow
- Numerical Analysis of Nonlinear Subdiffusion Equations
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions
- The time-fractional Cahn–Hilliard equation: analysis and approximation
- Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework
- A Spectrally Accurate Approximation to Subdiffusion Equations Using the Log Orthogonal Functions
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- 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
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
- The Variable-Step L1 Scheme Preserving a Compatible Energy Law for Time-Fractional Allen-Cahn Equation
This page was built for publication: A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation
