On the analytical approximation of the quadratic non-linear oscillator by modified extended iteration method-Reference-Cited by-同舟云学术

On the analytical approximation of the quadratic non-linear oscillator by modified extended iteration method

Published:2020-06-15 Issue:1 Volume:6 Page:527-536
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Ikramul Haque B. M.¹,Flora Shajia Afrin¹

Affiliation:

1. Department of Mathematics , Khulna University of Engineering & Technology , Khulna - 9203 , Bangladesh

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/amns.2020.2.00008

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