An element-free Galerkin method for the time-fractional subdiffusion equations

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：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2023年 / 154卷

基金：

中国国家自然科学基金;

关键词：

Time-fractional subdiffusion equation; Meshless methods; Element-free Galerkin method; Error estimation; Caputo fractional derivatives; Initial-boundary conditions; ANOMALOUS DIFFUSION; APPROXIMATION; SCHEMES; IEFG;

D O I：

10.1016/j.enganabound.2023.05.028

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, an element-free Galerkin (EFG) method is developed for the numerical analysis of the time-fractional subdiffusion equation. By using the L2 - 1(sigma) formula to approximate the Caputo fractional derivative, a second-order accurate scheme is proposed to achieve temporal discretization. Then, time-independent integer-order boundary value problems are formed, and a stabilized EFG method is applied to establish the discretize linear algebraic systems. Error of the proposed meshless method is proved theoretically. Numerical results show the convergence and effectiveness of the method.

引用

页码：161 / 171

页数：11

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