An approximate analytical technique for solving second order strongly nonlinear generalized duffing equation with small damping

Authors

  • M Alhaz Uddin Department of Mathematics, Khulna University of Engineering and Technology, Khulna-9203
  • M Wali Ullah Mathematics, Department of Business Administration, Northern University, Dhaka
  • Rehana Sultana Bipasha Mathematics, Department of Business Administration, Asian University of Bangladesh, Dhaka-1230

DOI:

https://doi.org/10.3329/jbas.v39i1.23664

Keywords:

Homotopy perturbation, KBM methods, Second order strongly nonlinear generalized Duffing oscillator

Abstract

In this paper, Hes homotopy perturbation method has been extended for obtaining the analytical approximate solution of second order strongly nonlinear generalized duffing oscillators with damping based on the extended form of the Krylov-Bogoliubov-Mitropolskii (KBM) method. Accuracy and validity of the solutions obtained by the presented method are compared with the corresponding numerical solutions obtained by the well-known fourth order Rangue-Kutta method. The method has been illustrated by examples.

Journal of Bangladesh Academy of Sciences, Vol. 39, No. 1, 103-114, 2015

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Author Biography

M Alhaz Uddin, Department of Mathematics, Khulna University of Engineering and Technology, Khulna-9203



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Published

2015-06-14

How to Cite

Uddin, M. A., Ullah, M. W., & Bipasha, R. S. (2015). An approximate analytical technique for solving second order strongly nonlinear generalized duffing equation with small damping. Journal of Bangladesh Academy of Sciences, 39(1), 103–114. https://doi.org/10.3329/jbas.v39i1.23664

Issue

Vol. 39 No. 1 (2015)

Section

Articles