An Analytic Investigation of the Quadratic Nonlinear Oscillator by an Iteration Method

Haque, B. and Hossain, Md. (2016) An Analytic Investigation of the Quadratic Nonlinear Oscillator by an Iteration Method. British Journal of Mathematics & Computer Science, 13 (1). pp. 1-8. ISSN 22310851

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Abstract

A modified approximate analytic solution of the quadratic nonlinear oscillator “ ẍ + x2 sgn(x) =0 ” has been obtained based on an iteration procedure. Here we have used the truncated Fourier series in each iterative step. The approximate frequencies obtained by our technique shows a good agreement with the exact frequency. The percentage of error between exact frequency and our fourth approximate frequency is as low as 0.00003%.

Item Type: Article
Subjects: Archive Science > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 08 Jun 2023 08:08
Last Modified: 06 Sep 2024 09:18
URI: http://editor.pacificarchive.com/id/eprint/1014

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