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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 |
