Approximate Analytic Solutions of the Inverse Cubic Truly Nonlinear Oscillator by Iterative Method

Bostami, Md. Bayezid

dc.contributor.advisor	Haque, Dr. B. M. Ikramul
dc.contributor.author	Bostami, Md. Bayezid
dc.date.accessioned	2018-05-21T06:22:14Z
dc.date.available	2018-05-21T06:22:14Z
dc.date.copyright	2016
dc.date.issued	2016-01
dc.identifier.other	ID 0000000
dc.identifier.uri	http://hdl.handle.net/20.500.12228/143
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, January 2016.	en_US
dc.description	Cataloged from PDF Version of Thesis.
dc.description	Includes bibliographical references (pages 43-48).
dc.description.abstract	An analytical technique has been developed based on an iteration method to determine higher-order approximate periodic solutions for nonlinear oscillatory differential equations. Usually, a set of nonlinear algebraic equations is solved with this method. However, analytical solutions of these algebraic equations are not always possible, especially in the case of large oscillations. A new technique based on the Mickens iterative method has been presented to obtain approximate analytic solutions of the Inverse Cubic Truly Nonlinear Oscillator. In this thesis, we have adopted the method of Fourier series and utilized truncated terms in each steps of iteration. The solutions obtained by this method nicely matched with the exact frequency. Also the obtained solutions are much more accurate than other existing results and the method is convergent and consistent.	en_US
dc.description.statementofresponsibility	Md. Bayezid Bostami
dc.format.extent	48 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	Inverse Cubic Truly Nonlinear Oscillator	en_US
dc.subject	Iterative Method	en_US
dc.title	Approximate Analytic Solutions of the Inverse Cubic Truly Nonlinear Oscillator by Iterative Method	en_US
dc.type	Thesis	en_US
dc.description.degree	Master of Science in Mathematics
dc.contributor.department	Department of Mathematics