Novel results for a class of singular perturbed slow-fast system

被引:3
|
作者
Wang, Xiaoyun [1 ,2 ]
Wang, Li [2 ]
Wu, Yunjin [3 ]
机构
[1] Taiyuan Univ Technol, Taiyuan 030024, Shanxi, Peoples R China
[2] North Univ China, Taiyuan 030051, Shanxi, Peoples R China
[3] Xi An Jiao Tong Univ, Xian 710049, Shannxi, Peoples R China
基金
中国博士后科学基金;
关键词
Singular perturbation; Slow-fast system; Iterative process; Error analysis; LINEAR-SYSTEMS; FAST DECOMPOSITION; ORDER REDUCTION; FAST DYNAMICS; DIAGONALIZATION; PERTURBATIONS;
D O I
10.1016/j.amc.2013.09.071
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, an iterative method is illustrated for solving a class of singular perturbed slow-fast system including two or three differential equations. By some techniques, we not only give an error accuracy by differential inequality but also present an error estimate formula. At last, some typical examples are given to illustrate the new iterative method is a useful tool. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:795 / 806
页数:12
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