A New Kind of Iteration Method for Finding Approximate Periodic Solutions to Ordinary Diferential Equations

被引：0

作者：

Wu Dong-xu ^{[1
]}

Wang Cai-ling ^{[2
]}

Xu Xu ^{[2
]}

Li Yong

机构：

[1] Department of Applied Mathematics, School of Science, Changchun University of Science and Technology

[2] School of Mathematics, Jilin University

来源：

Communications in Mathematical Research | 2013年 / 29卷 / 04期

关键词：

iteration method; approximate periodic solution; ordinary diferential equation;

D O I：

10.13447/j.1674-5647.2013.04.002

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper, a new kind of iteration technique for solving nonlinear ordinary diferential equations is described and used to give approximate periodic solutions for some well-known nonlinear problems. The most interesting features of the proposed methods are its extreme simplicity and concise forms of iteration formula for a wide range of nonlinear problems.

引用

页码：297 / 304

页数：8

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