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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 |
