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Analytical Solutions of Second Order Strongly Nonlinear Differential Systems with Slowly Varying Coefficients

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dc.contributor.advisor Uddin, Dr. Md. Alhaz
dc.contributor.author Dey, Chumki Rani
dc.date.accessioned 2018-05-21T10:04:13Z
dc.date.available 2018-05-21T10:04:13Z
dc.date.copyright 2016
dc.date.issued 2016-06
dc.identifier.other ID 0000000
dc.identifier.uri http://hdl.handle.net/20.500.12228/149
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, June 2016. en_US
dc.description Cataloged from PDF Version of Thesis.
dc.description Includes bibliographical references (pages 26-30).
dc.description.abstract Considerable attention has been directed toward the study of strongly nonlinear differential systems. Nonlinear differential systems have been widely used in many areas of applied mathematics, physics, plasma and laser 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 develop an analytical technique for obtaining the approximate solutions of second order strongly nonlinear differential systems with slowly varying coefficients and higher order nonlinearity in presence of small damping based on the He’s homotopy perturbation method (HPM) and the extended form of the Krylov- Bogoliubov- Mitropolskii (KBM) method. Graphical representation of any physical system is important for its locations, amplitudes and phases. So 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 Chumki Rani Dey
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 Analytical Solution en_US
dc.subject Nonlinear Differential Systems en_US
dc.subject Slowly Varying Coefficients en_US
dc.title Analytical Solutions of Second Order Strongly Nonlinear Differential Systems with Slowly Varying Coefficients 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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