Application of the differential transformation and the modified homotopy perturbation method to duffing oscillator

D. D. Ganji, Y. Rostamiyan, A. Fereidoon, H. Yaghoobi, M. R. Davoudabadi

Research output: Contribution to journalConference articlepeer-review

Abstract

In this paper, we introduce the differential transformation method (DTM) and modified homotopy perturbation method (MHPM) to solve the nonlinear Duffing equations. Then, results of DTM and MHPM are compared with Runge Kutta as numerical solution. It reveals that differential transformation and modified homotopy perturbation methods are very effective and convenient.

Original languageEnglish
Pages (from-to)123-129
Number of pages7
JournalNonlinear Science Letters D: Conference Series
Volume2
Issue numberJanuary
Publication statusPublished - Jan 1 2011
Externally publishedYes
Event3rd International Symposium on Nonlinear Dynamics, ISND 2010 - Shanghai, China
Duration: Sept 25 2010Sept 28 2010

Bibliographical note

Publisher Copyright:
Copyright © 2011 Asian Academic Publisher Ltd.

ASJC Scopus Subject Areas

  • General Engineering

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Ganji, D. D., Rostamiyan, Y., Fereidoon, A., Yaghoobi, H., & Davoudabadi, M. R. (2011). Application of the differential transformation and the modified homotopy perturbation method to duffing oscillator. Nonlinear Science Letters D: Conference Series, 2(January), 123-129.