Improvement of Analytic Solution to the Inverse Truly Nonlinear Oscillator by Extended Iterative Method

Asifuzzaman, Md.

dc.contributor.advisor	Haque, Dr. B. M. Ikramul
dc.contributor.author	Asifuzzaman, Md.
dc.date.accessioned	2018-05-22T10:41:05Z
dc.date.available	2018-05-22T10:41:05Z
dc.date.copyright	2017
dc.date.issued	2017-02
dc.identifier.other	ID 1551501
dc.identifier.uri	http://hdl.handle.net/20.500.12228/160
dc.description	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, February 2017.	en_US
dc.description	Cataloged from PDF Version of Thesis.
dc.description	Includes bibliographical references (pages 40-44).
dc.description.abstract	A new approach of the Mickens extended iterative method has been presented to obtain approximate analytic solutions for nonlinear oscillatory differential equation. To get modified approximate solution of the inverse nonlinear oscillator “x+x-1=0” we have used the Fourier series and utilized indispensable truncated terms in each iterative step. In this thesis the solution gives more accurate result than other existing methods and shows a good agreement with its exact solution. The percentage of error between exact frequency and our third approximate frequency is as low as 0.0029%. We have compared our results with exact results and other existing results and the solution is convergent as well as consistent.	en_US
dc.description.statementofresponsibility	Md. Asifuzzaman
dc.format.extent	44 pages
dc.language.iso	en_US	en_US
dc.publisher	Khulna University of Engineering & Technology (KUET), Khulna, Bangladesh.	en_US
dc.rights	Khulna University of Engineering & Technology (KUET) thesis/dissertation/internship reports are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission.
dc.subject	Analytic Solution	en_US
dc.subject	Inverse Truly Nonlinear Oscillator	en_US
dc.subject	Extended Iterative Method	en_US
dc.title	Improvement of Analytic Solution to the Inverse Truly Nonlinear Oscillator by Extended Iterative Method	en_US
dc.type	Thesis	en_US
dc.description.degree	Master of Science in Mathematics
dc.contributor.department	Department of Mathematics