A linearly stabilized convolution quadrature method for the time-fractional Allen-Cahn equation

被引：2
|
作者：
Yang, Zheng [1 ]
Zeng, Fanhai [2 ]
机构：
[1] Lishui Univ, Dept Math, Lishui 323000, Zhejiang, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 144卷
基金：
国家重点研发计划;
关键词：
Fractional Allen-Cahn equation; Caputo fractional derivative; Backward Euler convolution quadrature; Energy decay; Discrete maximum principle; SCHEMES;
D O I：
10.1016/j.aml.2023.108698
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper proposes a linearly stabilized convolution quadrature method for solving the time-fractional Allen-Cahn equation. The stability condition is explicitly given such that the method is unconditionally stable for any time step size. The space is discretized by the central difference method. We prove that the fully discrete scheme preserves the discrete maximum principle, the discrete energy is bounded, and the modified discrete energy decays monotonically. Numerical simulations support the theoretical analysis. (c) 2023 Elsevier Ltd. All rights reserved.
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页数：8
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