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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

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