On the Analytical Approximation of the Nonlinear Cubic Oscillator by an Iteration Method
B. M. Ikramul Haque, A. K. M. Selim Reza, Md. Mominur Rahman
Journal of Advances in Mathematics and Computer Science · pp. 1–9 · Published 29 Jul 2019
10.9734/jamcs/2019/v33i330177Abstract
A modified approximate analytic solution of the cubic nonlinear oscillator “ ” 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 this technique show a good agreement with the exact frequency. The percentage of error between exact frequency and our fifth approximate frequency is as low as 0.009%. The calculation with this technique is very easy. This easily-calculated modified technique accelerates the rapid convergence, reduces the error and increases the validity range of the solution.
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