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Research Article Open access CC BY 4.0

Analytical Approximate Solutions to the Nonlinear Singular Oscillator: An Iteration Procedure

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

Journal of Advances in Mathematics and Computer Science · pp. 1–7 · Published 6 Feb 2016

10.9734/BJMCS/2016/23263

Abstract

Solution of the nonlinear singular oscillator has been obtained based on an iteration procedure. Here we have used a simple technique and taking a truncated Fourier series to determine the approximate analytic solution of the oscillator. The percentage of error between exact frequency and the third approximate frequency obtained by the adopted technique is as low as 0.696%. That is the third approximate frequency of the nonlinear singular oscillator shows a good agreement with its exact value. The convergent rate is high compared to other existing results. The modified technique introduces hopeful contrivance for many nonlinear oscillators.

Iteration procedure singular oscillator nonlinearity nonlinear oscillations.

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