Modified Solution of the Nonlinear Singular Oscillator by Iteration Procedure

Hossain, M. M. Ayub

dc.contributor.advisor	Haque, Dr. B.M. Ikramul
dc.contributor.author	Hossain, M. M. Ayub
dc.date.accessioned	2018-05-20T10:59:48Z
dc.date.available	2018-05-20T10:59:48Z
dc.date.copyright	2016
dc.date.issued	2016-09
dc.identifier.other	ID 0000000
dc.identifier.uri	http://hdl.handle.net/20.500.12228/134
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 Philosophy in Mathematics, September 2016.	en_US
dc.description	Cataloged from PDF Version of Thesis.
dc.description	Includes bibliographical references (pages 45-50).
dc.description.abstract	An Iteration method for solving nonlinear oscillatory problems was introduced by R. E. Mickens. Mickens provided a general basis for this method as they are currently used in the calculation of approximations to the periodic solutions of various nonlinear oscillatory differential equations successfully. Latter the method of Iteration has been improved and justified by C. W. Lim, B. S. Wu and R. E. Mickens. It is a widely used technique for handling strong as well as weak nonlinear differential systems with periodic solutions. In this thesis, we have used the truncated Fourier series in each iterative step. The approximate frequencies obtained by the technique shows a good agreement with the exact frequency. Also the obtained solutions are much more accurate than other existing results.	en_US
dc.description.statementofresponsibility	M. M. Ayub Hossain
dc.format.extent	50 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	Nonlinear	en_US
dc.subject	Singular Oscillator	en_US
dc.subject	Differential Systems	en_US
dc.title	Modified Solution of the Nonlinear Singular Oscillator by Iteration Procedure	en_US
dc.type	Thesis	en_US
dc.description.degree	Master of Philosophy in Mathematics
dc.contributor.department	Department of Mathematics