Mickens Iteration Like Method for Approximate Solutions of  the Inverse Cubic Truly Nonlinear Oscillator

B. M. Ikramul Haque; Md. Bayezid Bostami; M. M. Ayub Hossain; Md. Rakib Hossain; Md. Mominur Rahman

doi:10.9734/BJMCS/2016/22823

Research Article Open access CC BY 4.0

Mickens Iteration Like Method for Approximate Solutions of the Inverse Cubic Truly Nonlinear Oscillator

B. M. Ikramul Haque, Md. Bayezid Bostami, M. M. Ayub Hossain, Md. Rakib Hossain, Md. Mominur Rahman

Journal of Advances in Mathematics and Computer Science · pp. 1–9 · Published 28 Dec 2015

10.9734/BJMCS/2016/22823

Abstract

A new technique of the Mickens iterative method has been presented to obtain approximate analytic solutions of the Inverse Cubic Truly Nonlinear Oscillator. In this paper, we have used Fourier series and utilized truncated terms in each steps of iteration. The method is illustrated by an example and the solutions obtained by this method agree nicely with the exact frequency. Also the solutions give more accurate result than other existing results and the method is convergent.

Iterative method nonlinear oscillators inverse cubic oscillator frequency fourier series.

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B. M. Ikramul Haque, Md. Bayezid Bostami, M. M. Ayub Hossain, Md. Rakib Hossain, Md. Mominur Rahman (2015). Mickens Iteration Like Method for Approximate Solutions of the Inverse Cubic Truly Nonlinear Oscillator. Journal of Advances in Mathematics and Computer Science , 1–9. https://doi.org/10.9734/BJMCS/2016/22823

Affiliations

B. M. Ikramul Haque — Department of Mathematics, Khulna University of Engineering & Technology, Khulna-9203, Bangladesh.
Md. Bayezid Bostami — Department of Mathematics, Khulna University of Engineering & Technology, Khulna-9203, Bangladesh.
M. M. Ayub Hossain — Department of Mathematics, Khulna University of Engineering & Technology, Khulna-9203, Bangladesh.
Md. Rakib Hossain — Department of Mathematics, Khulna University of Engineering & Technology, Khulna-9203, Bangladesh.
Md. Mominur Rahman — Department of Mathematics, Khulna University of Engineering & Technology, Khulna-9203, Bangladesh.

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