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Approximate Analytic Solutions of the Nonlinear Cubic Oscillator by Iterative Method

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dc.contributor.advisor Haque, Dr. B. M. Ikramul
dc.contributor.author Rahman, Md. Mominur
dc.date.accessioned 2018-08-08T06:05:32Z
dc.date.available 2018-08-08T06:05:32Z
dc.date.copyright 2016
dc.date.issued 2016-11
dc.identifier.other ID 0000000
dc.identifier.uri http://hdl.handle.net/20.500.12228/192
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, November 2016. en_US
dc.description Cataloged from PDF Version of Thesis.
dc.description Includes bibliographical references (pages 42-46).
dc.description.abstract A modified approximate analytic solution of the cubic nonlinear oscillator “ẍ + x3 = 0" has been obtained based on an iteration method. Here we have used the truncated Fourier series in each iterative step. The approximate frequencies obtained by this technique show a good agreement with the exact frequency. The percentage of error between exact frequency and our fifth approximate frequency is as low as 0.009%. The calculation with this technique is very easy. The modified technique accelerates the rapid convergence of the solution, reduces the error solution and increases the validity range. en_US
dc.description.statementofresponsibility Md. Mominur Rahman
dc.format.extent 46 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 Cubic Nonlinear Oscillator en_US
dc.subject Iterative Method en_US
dc.subject Fourier Series en_US
dc.title Approximate Analytic Solutions of the Nonlinear Cubic 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


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