Generalized Adams method for solving fractional delay differential equations

被引：7

作者：

Zhao, Jingjun ^{[1
]}

Jiang, Xingzhou ^{[1
]}

Xu, Yang ^{[1
]}

机构：

[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2021年 / 180卷

基金：

中国国家自然科学基金;

关键词：

Fractional delay differential equation; Generalized Adams method; Convergence; Stability; CONVOLUTION QUADRATURE; STABILITY ANALYSIS;

D O I：

10.1016/j.matcom.2020.09.006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Based on fractional generalized Adams methods, a numerical method is constructed for solving fractional delay differential equations. The convergence of the method is analyzed in detail. The stability of the fractional generalized Adams methods for fractional ordinary differential equations is generalized to a general framework. Under such framework, the linear stability of the method is studied for fractional delay differential equations. Numerical experiments confirm the convergence and the stability of the method. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：401 / 419

页数：19

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