On the analytical approximation of the quadratic non-linear oscillator by modified extended iteration method
oraz
15 cze 2020
O artykule
Data publikacji: 15 cze 2020
Zakres stron: 527 - 536
Otrzymano: 30 wrz 2019
Przyjęty: 23 gru 2019
DOI: https://doi.org/10.2478/amns.2020.2.00008
Słowa kluczowe
© 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.