Variational Iteration Method for the Solution of Differential Equation of Motion of the Mathematical Pendulum and Duffing-Harmonic Oscillator

  • Muhammad Munib Khan Department of Basic Sciences, University of Engineering and Technology Peshawar, Pakistan
DOI: https://doi.org/10.34198/ejms.2119.101109
Keywords: variational iteration method, vibration, Lagrange multiplier

Abstract

In this work, the differential equation of motion of the undamped mathematical pendulum and Duffing-harmonic oscillator are discussed by using the variational iteration method. Additionally, common problems of pendulum are classified and Lagrange multipliers are obtained for each type of problem. Examples are given for illustration.

Published
2019-05-02
How to Cite
Khan, M. M. (2019). Variational Iteration Method for the Solution of Differential Equation of Motion of the Mathematical Pendulum and Duffing-Harmonic Oscillator. Earthline Journal of Mathematical Sciences, 2(1), 101-109. https://doi.org/10.34198/ejms.2119.101109
Issue
Vol 2 No 1 (2019)
Section
Articles


This work is licensed under a Creative Commons Attribution 4.0 International License.