Open AccessModified solutions of some oscillators by iteration procedure
Author(s) -
B. M. Ikramul Haque,
Md. Shamsul Alam,
Md. Majedur Rahman
Publication year - 2013
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.02.003
Subject(s) - mathematics , fourier series , nonlinear system , iterative method , series (stratigraphy) , fourier transform , mathematical analysis , mathematical optimization , paleontology , physics , quantum mechanics , biology
The modified solutions of some nonlinear oscillators have been obtained based on the classical iteration procedure. In this article we have used the Fourier series and utilized all of its terms (sometimes approximately) in each iterative step. The third and fourth approximate frequencies of different nonlinear problems show good agreement with the exact values