An efficient second order stabilized scheme for the two dimensional time fractional Allen-Cahn equation
type: Item
instance of: scholarly article
title: An efficient second order stabilized scheme for the two dimensional time fractional Allen-Cahn equation
zbMATH Open document ID: 1475.65145
author: Junqing Jia
author: Hui Zhang
author: Huan-Ying Xu
author: Xiaoyun Jiang
published in: Applied Numerical Mathematics
publication date: 2021-06-03T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 76T30
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7354386
zbMATH Keywords: time fractional Allen-Cahn equation
zbMATH Keywords: fractional Grönwall inequality
zbMATH Keywords: optimal error estimate
zbMATH Keywords: fast algorithm
MaRDI profile type: Publication
full work available at URL: j.apnum.2021.02.016
OpenAlex ID: W3134863935
cites work: A new difference scheme for the time fractional diffusion equation
cites work: High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
cites work: Spectral Methods
cites work: Geometrical Evolution of Developed Interfaces
cites work: Weakly Singular Discrete Gronwall Inequalities
cites work: Fractional diffusion on the human proteome as an alternative to the multi-organ damage of SARS-CoV-2
cites work: A posteriori error estimates and an adaptive finite element method for the Allen-Cahn equation and the mean curvature flow
cites work: Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations
cites work: Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
cites work: Fractional differentiation matrices with applications
cites work: Numerical approaches to fractional calculus and fractional ordinary differential equation
cites work: A Fast Time Stepping Method for Evaluating Fractional Integrals
cites work: A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
cites work: Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation
cites work: Adaptive, Fast, and Oblivious Convolution in Evolution Equations with Memory
cites work: Discretized Fractional Calculus
cites work: Exponential Sum Approximations for t−β
cites work: Triple-junction motion for an Allen-Cahn/Cahn-Hilliard system
cites work: Q4233638
cites work: Bifurcations of front motion in passive and active Allen–Cahn-type equations
cites work: Dissipativity and Contractivity Analysis for Fractional Functional Differential Equations and their Numerical Approximations
cites work: An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data
cites work: Efficient numerical methods for the nonlinear two-sided space-fractional diffusion equation with variable coefficients
cites work: Parameter identification for fractional fractal diffusion model based on experimental data
cites work: Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions
cites work: A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations
cites work: Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing
cites work: A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
cites work: Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
cites work: A stable fast time-stepping method for fractional integral and derivative operators
cites work: Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit
DOI: 10.1016/J.APNUM.2021.02.016
description: scientific article; zbMATH DE number 7354386