Numerical Analysis of Fully Discretized Crank–Nicolson Scheme for Fractional-in-Space Allen–Cahn Equations
出版年份 2017 全文链接
标题
Numerical Analysis of Fully Discretized Crank–Nicolson Scheme for Fractional-in-Space Allen–Cahn Equations
作者
关键词
Fractional derivatives, Allen–Cahn equations, Finite difference method, Maximum principle, Energy stability, Error analysis, 65M70, 65R20
出版物
JOURNAL OF SCIENTIFIC COMPUTING
Volume 72, Issue 3, Pages 1214-1231
出版商
Springer Nature
发表日期
2017-02-25
DOI
10.1007/s10915-017-0396-9
参考文献
相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。- On the maximum principle preserving schemes for the generalized Allen–Cahn equation
- (2016) Jie Shen et al. Communications in Mathematical Sciences
- Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle
- (2016) Tao Tang et al. JOURNAL OF COMPUTATIONAL MATHEMATICS
- Asymptotically Compatible Fourier Spectral Approximations of Nonlocal Allen--Cahn Equations
- (2016) Qiang Du et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- A class of second order difference approximations for solving space fractional diffusion equations
- (2015) WenYi Tian et al. MATHEMATICS OF COMPUTATION
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- (2014) Alfonso Bueno-Orovio et al. BIT NUMERICAL MATHEMATICS
- Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation
- (2013) Jiang Yang et al. Inverse Problems and Imaging
- Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models
- (2013) Xinlong Feng et al. East Asian Journal on Applied Mathematics
- Phase-Field Models for Multi-Component Fluid Flows
- (2012) Junseok Kim Communications in Computational Physics
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- (2012) Kevin Burrage et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models
- (2011) Zhonghua Qiao et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- (2010) Jie Shen et al. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
- Error analysis of stabilized semi-implicit method of Allen-Cahn equation
- (2009) Xiaofeng Yang DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
- An unconditionally gradient stable numerical method for solving the Allen–Cahn equation
- (2009) Jeong-Whan Choi et al. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- (2009) Xianjuan Li et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- (2009) P. Zhuang et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit
- (2009) Jian Zhang et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
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