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

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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


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