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Analytical Solution of Quadratic Nonlinear Oscillator by Extended Iteration Method

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dc.contributor.advisor Haque, Dr. B. M. Ikramul
dc.contributor.author Flora, Shajia Afrin
dc.date.accessioned 2018-05-22T10:54:22Z
dc.date.available 2018-05-22T10:54:22Z
dc.date.copyright 2017
dc.date.issued 2017-08
dc.identifier.other ID 1551502
dc.identifier.uri http://hdl.handle.net/20.500.12228/161
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, August 2017. en_US
dc.description Cataloged from PDF Version of Thesis.
dc.description Includes bibliographical references (pages 46-50).
dc.description.abstract A modified approximate analytic solution of the quadratic nonlinear oscillator '' x+ x2 = 0'' has been obtained based on an Extended Iteration method. In this study the Fourier series and utilized indispensable truncated terms have been used in each step of Extended Iterations. The approximate frequencies obtained by this technique show a good agreement with the exact frequency. The percentage of error between exact frequency and our third approximate frequency is as low as 0.001%.There is no algebraic complexity in our calculation that is why this technique is very easy. The results have been compared with the exact results and other existing results that are convergent as well as consistent. en_US
dc.description.statementofresponsibility Shajia Afrin Flora
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 Analytical Solution en_US
dc.subject Quadratic Nonlinear Oscillator en_US
dc.subject Extended Iteration Method en_US
dc.title Analytical Solution of Quadratic Nonlinear Oscillator by Extended Iteration 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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