He's MAX–MIN METHOD FOR THE RELATIVISTIC OSCILLATOR AND HIGH ORDER DUFFING EQUATION-Reference-Cited by-同舟云学术

He's MAX–MIN METHOD FOR THE RELATIVISTIC OSCILLATOR AND HIGH ORDER DUFFING EQUATION

Published:2009-12-30 Issue:32 Volume:23 Page:5915-5927
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

AZAMI R.¹²³,GANJI D. D.¹²³,BABAZADEH H.¹²³,DVAVODI A. G.¹²³,GANJI S. S.¹²³

Affiliation:

1. Department of Mechanical, Electrical and Civil Engineering, Babol University of Technology, Babol, Iran

2. Department of Civil and Architectural, Shahrood University of Technology, Shahrood, Iran

3. Department of Electrical Engineering, California State University, Los Angeles, USA

Abstract

This paper implements He's max–min method to solve accurately strong nonlinear oscillators. Maximal and minimal solution thresholds of a nonlinear problem can be easily found, and an approximate solution of the nonlinear equation can be easily deduced using He Chengtian's interpolation, which has a millennia history. Some typical examples are employed to illustrate its validity, effectiveness, and flexibility.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979209054351

Reference39 articles.

1. A new perturbative approach to nonlinear problems

2. The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer

3. Application of homotopy perturbation method to the RLW and generalized modified Boussinesq equations

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