Journal ArticleOpen Access

Modified solutions of some oscillators by iteration procedure

Authors

Bazle Z. Haque, Md. Shamsul Alam, Md. Majedur Rahman

Author Affiliations

Khulna University of Engineering and Technology, Rajshahi University of Engineering and Technology

Published InJournal of the Egyptian Mathematical Society

Year2013

Citations22

DOI10.1016/j.joems.2013.02.003

Abstract

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.

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Fields & Keywords

Physical Sciences Mathematics Modeling and Simulation Fractional Differential Equations Solutions Iterative Methods for Nonlinear Equations Acoustic Wave Phenomena Research Applied mathematics Mathematical analysis Mathematical optimization Paleontology Quantum mechanics