Publisher:Khulna University of Engineering & Technology (KUET), Khulna, Bangladesh.
Abstract:
A modified approximate analytic solution of the quadratic nonlinear oscillator '' x+ x2 = 0''
has been obtained based on an Extended Iteration method. In this study the Fourier series
and utilized indispensable truncated terms have been used in each step of Extended
Iterations. The approximate frequencies obtained by this technique show a good agreement
with the exact frequency. The percentage of error between exact frequency and our third
approximate frequency is as low as 0.001%.There is no algebraic complexity in our
calculation that is why this technique is very easy. The results have been compared with
the exact results and other existing results that are convergent as well as consistent.
This thesis is submitted to the Department of Mathematics, Khulna University of Engineering & Technology in partial fulfillment of the requirements for the degree of Master of Science in Mathematics, August 2017.
Cataloged from PDF Version of Thesis.
Includes bibliographical references (pages 46-50).
