Numerical Analysis of the Nonuniform Fast L1 Formula for Nonlinear Time-Space Fractional Parabolic Equations

被引：5

作者：

Xing, Zhiyong ^{[1
]}

Wen, Liping ^{[2
]}

机构：

[1] Shaoyang Univ, Dept Math, Shaoyang 422000, Hunan, Peoples R China

[2] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2023年 / 95卷 / 02期

关键词：

Nonlinear time-space fractional parabolic equation; Fast L1 formula; Energy dissipation law; Weak singularity; Stability and convergence; FINITE-DIFFERENCE METHOD; GRADED MESHES; ALLEN-CAHN; SCHEME; STEPS;

D O I：

10.1007/s10915-023-02186-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Basing on the nonuniform fast L1 formula, an efficient numerical scheme is proposed for nonlinear time-space fractional parabolic equations. The stability and convergence of the numerical scheme are rigorously established. The discrete energy dissipation property of the numerical scheme based on graded temporal mesh is given. Finally, several numerical experiments are provided to verify the theoretical results.

引用

页数：22

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