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Analytical Solutions of Second Order Nonlinear Ordinary Differential Systems with high Order Nonlinearity
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| dc.contributor.advisor | Uddin, Prof. Dr. Md. Alhaz | |
| dc.contributor.author | Ghosh, Deepa Rani | |
| dc.date.accessioned | 2018-08-08T04:06:10Z | |
| dc.date.available | 2018-08-08T04:06:10Z | |
| dc.date.copyright | 2016 | |
| dc.date.issued | 2016-01 | |
| dc.identifier.other | ID 1451564 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.12228/191 | |
| 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, January 2016. | en_US |
| dc.description | Cataloged from PDF Version of Thesis. | |
| dc.description | Includes bibliographical references (pages 25-30). | |
| dc.description.abstract | Nonlinear oscillator models have been widely used in many areas of physics and engineering and are of significant importance in mechanical and structural dynamics for the comprehensive understanding and accurate prediction of motion. The aim of the present study is to solve the second order autonomous Nonlinear Differential Systems with strong and high ((9th)) order nonlinearity in presence of small damping by combing He’s homotopy perturbation and the extended form of the KBM methods. The results obtained by the presented method are compared with those solutions obtained by the fourth order Runge-Kutta method in graphically. | en_US |
| dc.description.statementofresponsibility | Deepa Rani Ghosh | |
| dc.format.extent | 30 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 | Nonlinear Oscillator Models | en_US |
| dc.subject | Nonlinear Differential Systems | en_US |
| dc.subject | KBM Methods | en_US |
| dc.title | Analytical Solutions of Second Order Nonlinear Ordinary Differential Systems with high Order Nonlinearity | en_US |
| dc.type | Thesis | en_US |
| dc.description.degree | Master of Science in Mathematics | |
| dc.contributor.department | Department of Mathematics |
