Renormalization group approach to a class of singularly perturbed delay differential equations

被引：4

作者：

Xu, Lin ^{[1
]}

Xu, Zhiguo ^{[1
]}

Li, Wenlei ^{[1
]}

Shi, Shaoyun ^{[1
,2
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China

[2] Jilin Univ, State Key Lab Automot Simulat & Control, Changchun 130012, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2021年 / 103卷

关键词：

Renormalization group method; Singularly perturbed delay differential equation; Error estimate; Numerical simulation; BOUNDARY-VALUE-PROBLEMS; SMALL SHIFTS; LAYER;

D O I：

10.1016/j.cnsns.2021.106028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a systematic renormalization group method to investigate a class of singularly perturbed delay differential equations. The uniformly valid approximate solution can be obtained, and we give a rigorous proof of the error estimate of the approximate solution. In addition, some numerical comparisons between the exact solution, the result by the averaging method and our result are given for two examples. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：11

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