An Analytic Investigation of the Quadratic Nonlinear Oscillator by an Iteration Method
B. M. Ikramul Haque, Md. Rakib Hossain
Journal of Advances in Mathematics and Computer Science · pp. 1–8 · Published 20 Nov 2015
10.9734/BJMCS/2016/22049Abstract
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%.
Cited by 6
B. M. Ikramul Haque, M. M. Ayub Hossain · Journal of Advances in Mathematics and Computer Science · 2019
B. Haque, A. Reza, Md. Mominur Rahman · Journal of Advances in Mathematics and Computer Science · 2019
M. Hosen, M. Chowdhury, Mohammad Yeakub Ali · 2017
B. M. Ikramul Haque, M. Asifuzzaman, M. K. Hasan · International Conference on Mathematics and Computing · 2017
Md. Mominur Rahman · 2016
B. M. Ikramul Haque, Shajia Afrin Flora · Applied Mathematics and Nonlinear Sciences · 2020
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