Approximate Analytic Solutions of the Nonlinear Cubic Oscillator by Iterative Method

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dc.contributor.advisorHaque, Dr. B. M. Ikramul
dc.contributor.authorRahman, Md. Mominur
dc.date.accessioned2018-08-08T06:05:32Z
dc.date.available2018-08-08T06:05:32Z
dc.date.issued2016-11
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, November 2016.
dc.descriptionCataloged from PDF Version of Thesis.
dc.descriptionIncludes bibliographical references (pages 42-46).
dc.description.abstractA modified approximate analytic solution of the cubic nonlinear oscillator “ẍ + x3 = 0" has been obtained based on an iteration method. Here we have used the truncated Fourier series in each iterative step. The approximate frequencies obtained by this technique show a good agreement with the exact frequency. The percentage of error between exact frequency and our fifth approximate frequency is as low as 0.009%. The calculation with this technique is very easy. The modified technique accelerates the rapid convergence of the solution, reduces the error solution and increases the validity range.
dc.identifier.otherID 0000000
dc.identifier.otherhttp://dspace.kuet.ac.bd/handle/20.500.12228/192
dc.identifier.urihttp://hdl.handle.net/20.500.12228/192
dc.language.isoen_US
dc.publisherKhulna University of Engineering & Technology (KUET), Khulna, Bangladesh
dc.sourceKUET Institutional Repository
dc.subjectCubic Nonlinear Oscillator
dc.subjectIterative Method
dc.subjectFourier Series
dc.titleApproximate Analytic Solutions of the Nonlinear Cubic Oscillator by Iterative Method
dc.typeThesis

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