On the analytical approximation of the quadratic non-linear oscillator by modified extended iteration method
and
Jun 15, 2020
About this article
Published Online: Jun 15, 2020
Page range: 527 - 536
Received: Sep 30, 2019
Accepted: Dec 23, 2019
DOI: https://doi.org/10.2478/amns.2020.2.00008
Keywords
© 2020 B. M. Ikramul Haque et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
A modified analytical solution of the quadratic non-linear oscillator has been obtained based on an extended iteration method. In this study, truncated Fourier terms have been used in each step of iterations. The frequencies obtained by this technique show good agreement with the exact frequency. The percentage of error between the exact frequency and our third approximate frequency is as low as 0.001%. There is no algebraic complexity in our calculation, which is why this technique is very easy. The results have been compared with the exact and other existing results, which are both convergent and consistent.