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Modified Solution of the Nonlinear Singular Oscillator by Iteration Procedure

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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


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