Analysis of a fast element-free Galerkin method for the multi-term time-fractional diffusion

被引：1
|
作者：
Hu, Zesen [1 ]
Li, Xiaolin [1 ]
机构：
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 400047, Peoples R China
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2024年 / 223卷
基金：
中国国家自然科学基金;
关键词：
Meshless methods; Element-free Galerkin method; Fractional diffusion equation; Multi-term fractional derivatives; Error analysis; Fast algorithm; APPROXIMATION; SUPERCONVERGENCE; INEQUALITY; EQUATION; SCHEME;
D O I：
10.1016/j.matcom.2024.05.008
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, a fast element-free Galerkin (EFG) method is proposed for solving the multiterm time-fractional diffusion equation (TFDE). Through the use of the multi -term L2 - 1(sigma) formula to discrete the multi -term Caputo time-fractional derivative, a fast second-order scheme is presented for the temporal discretization, and then the EFG method is used to perform the spatial discretization. The stability of the temporal discretization scheme is discussed. By verifying the fractional Gr & ouml;nwall inequality, the global error of the proposed EFG method for the multi -term TFDE is analyzed in theory. Numerical results validate the theoretical results and the effectiveness of the method.
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页码：677 / 692
页数：16
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