A simple and efficient fourth-order approximation solution for nonlinear dynamic system

Suying Zhang; Zichen Deng

doi:10.1016/j.mechrescom.2003.10.004

A simple and efficient fourth-order approximation solution for nonlinear dynamic system

Suying Zhang
, Zichen Deng

航空学院

Northwestern Polytechnical University Xian
Dalian University of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

In the present paper, based on the classical Magnus expansion, a simple and efficient fourth-order integrator is given for an arbitrary nonlinear dynamic system, which can preserve the qualitative properties of the exact solution. The proposed method can be considered an averaging technique, and only requires evaluations of exponentials of simple unidimensional integrals. Finally, the numerical examples are given to demonstrate the validity and effectiveness of the method of this paper.

源语言	英语
页（从-至）	221-228
页数	8
期刊	Mechanics Research Communications
卷	31
期	2
DOI	https://doi.org/10.1016/j.mechrescom.2003.10.004
出版状态	已出版 - 3月 2004

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10.1016/j.mechrescom.2003.10.004

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abstract = "In the present paper, based on the classical Magnus expansion, a simple and efficient fourth-order integrator is given for an arbitrary nonlinear dynamic system, which can preserve the qualitative properties of the exact solution. The proposed method can be considered an averaging technique, and only requires evaluations of exponentials of simple unidimensional integrals. Finally, the numerical examples are given to demonstrate the validity and effectiveness of the method of this paper.",

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author = "Suying Zhang and Zichen Deng",

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AU - Zhang, Suying

AU - Deng, Zichen

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N2 - In the present paper, based on the classical Magnus expansion, a simple and efficient fourth-order integrator is given for an arbitrary nonlinear dynamic system, which can preserve the qualitative properties of the exact solution. The proposed method can be considered an averaging technique, and only requires evaluations of exponentials of simple unidimensional integrals. Finally, the numerical examples are given to demonstrate the validity and effectiveness of the method of this paper.

AB - In the present paper, based on the classical Magnus expansion, a simple and efficient fourth-order integrator is given for an arbitrary nonlinear dynamic system, which can preserve the qualitative properties of the exact solution. The proposed method can be considered an averaging technique, and only requires evaluations of exponentials of simple unidimensional integrals. Finally, the numerical examples are given to demonstrate the validity and effectiveness of the method of this paper.

KW - Integrator

KW - Magnus expansion

KW - Nonlinear dynamic system

UR - https://www.scopus.com/pages/publications/0942288551

U2 - 10.1016/j.mechrescom.2003.10.004

DO - 10.1016/j.mechrescom.2003.10.004

M3 - 文章

AN - SCOPUS:0942288551

SN - 0093-6413

VL - 31

SP - 221

EP - 228

JO - Mechanics Research Communications

JF - Mechanics Research Communications

IS - 2

ER -

A simple and efficient fourth-order approximation solution for nonlinear dynamic system

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