Meshless analysis of fractional diffusion-wave equations by generalized finite difference method

被引：4

作者：

Qing, Lanyu ^{[1
]}

Li, Xiaolin ^{[1
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 400047, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2024年 / 157卷

基金：

中国国家自然科学基金;

关键词：

Meshless; Fractional diffusion-wave equation; Generalized finite difference method; Accuracy analysis; Convergence; ELEMENT-METHOD; SCHEME;

D O I：

10.1016/j.aml.2024.109204

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a meshless generalized finite difference method (GFDM) is proposed to solve the time fractional diffusion-wave (TFDW) equations. A second-order temporal discretization scheme is developed to tackle the Caputo fractional derivative, and then spatial discretization formulas are derived by the GFDM. Theoretical accuracy and convergence of the GFDM for TFDW equations are analyzed. Numerical results verify the theoretical results and the efficiency of the method.

引用

页数：6

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