Analytical Solutions of Second Order Nonlinear Ordinary Differential Systems with high Order Nonlinearity

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dc.contributor.advisorUddin, Prof. Dr. Md. Alhaz
dc.contributor.authorGhosh, Deepa Rani
dc.date.accessioned2018-08-08T04:06:10Z
dc.date.available2018-08-08T04:06:10Z
dc.date.issued2016-01
dc.descriptionThis 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.
dc.descriptionCataloged from PDF Version of Thesis.
dc.descriptionIncludes bibliographical references (pages 25-30).
dc.description.abstractNonlinear 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.
dc.identifier.otherID 1451564
dc.identifier.otherhttp://dspace.kuet.ac.bd/handle/20.500.12228/191
dc.identifier.urihttp://hdl.handle.net/20.500.12228/191
dc.language.isoen_US
dc.publisherKhulna University of Engineering & Technology (KUET), Khulna, Bangladesh
dc.sourceKUET Institutional Repository
dc.subjectNonlinear Oscillator Models
dc.subjectNonlinear Differential Systems
dc.subjectKBM Methods
dc.titleAnalytical Solutions of Second Order Nonlinear Ordinary Differential Systems with high Order Nonlinearity
dc.typeThesis

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