Open AccessVariational Iteration Method for the Solution of Differential Equation of Motion of the Mathematical Pendulum and Duffing-Harmonic Oscillator
Author(s) -
Muhammad Munib Khan
Publication year - 2019
Publication title -
earthline journal of mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2581-8147
DOI - 10.34198/ejms.2119.101109
Subject(s) - pendulum , harmonic oscillator , duffing equation , mathematics , differential equation , double pendulum , lagrange multiplier , simple harmonic motion , mathematical analysis , work (physics) , equations of motion , motion (physics) , harmonic , classical mechanics , inverted pendulum , physics , mathematical optimization , nonlinear system , quantum mechanics
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.