A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation (Q6111366)

scientific article; zbMATH DE number 7708340

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English	A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation	scientific article; zbMATH DE number 7708340

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instance of

scholarly article

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title

A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation (English)

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Journal of Scientific Computing

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publication date

6 July 2023

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full work available at URL

https://arxiv.org/abs/2302.13021

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zbMATH Keywords

difference scheme

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time-fractional Allen-Cahn equation

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shifted fractional trapezoidal rule

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maximum-principle

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discrete energy decay

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MaRDI profile type

MaRDI publication profile

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cites work

The time-fractional Cahn–Hilliard equation: analysis and approximation

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A new difference scheme for the time fractional diffusion equation

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DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS

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Finite difference/finite element methods for distributed-order time fractional diffusion equations

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An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection

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A Spectrally Accurate Approximation to Subdiffusion Equations Using the Log Orthogonal Functions

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Time-fractional Allen-Cahn equations: analysis and numerical methods

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A compact finite difference scheme for the fractional sub-diffusion equations

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Highly Efficient and Energy Dissipative Schemes for the Time Fractional Allen--Cahn Equation

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A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach

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Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach

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Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations

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Optimal \(H^1\) spatial convergence of a fully discrete finite element method for the time-fractional Allen-Cahn equation

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Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint

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An efficient second order stabilized scheme for the two dimensional time fractional Allen-Cahn equation

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Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations

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Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview

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Numerical Analysis of Nonlinear Subdiffusion Equations

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Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions

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Finite difference method for two-dimensional nonlinear time-fractional subdiffusion equation

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A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

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Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations

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Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data

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Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework

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A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

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An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation

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The Variable-Step L1 Scheme Preserving a Compatible Energy Law for Time-Fractional Allen-Cahn Equation

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Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term

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Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation

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The unified theory of shifted convolution quadrature for fractional calculus

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Discretized Fractional Calculus

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A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term

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On the maximum principle preserving schemes for the generalized Allen-Cahn equation

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Too much regularity may force too much uniqueness

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Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations

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Snakes, shapes, and gradient vector flow

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Necessity of introducing non-integer shifted parameters by constructing high accuracy finite difference algorithms for a two-sided space-fractional advection-diffusion model

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Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes

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An efficient spline collocation method for a nonlinear fourth-order reaction subdiffusion equation

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Collocation methods for fractional integro-differential equations with weakly singular kernels

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Identifiers

arXiv ID

2302.13021

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DOI

10.1007/s10915-023-02263-w

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6111366