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Approximate Solution for Nonlinear Oscillation of a Mass Attached to a Stretched Elastic Wire by Optimal Homotopy Asymptotic Method

by M. Khalid, Mariam Sultana, Faheem Zaidi, Azhar Iqbal
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 143 - Number 2
Year of Publication: 2016
Authors: M. Khalid, Mariam Sultana, Faheem Zaidi, Azhar Iqbal
10.5120/ijca2016910016

M. Khalid, Mariam Sultana, Faheem Zaidi, Azhar Iqbal . Approximate Solution for Nonlinear Oscillation of a Mass Attached to a Stretched Elastic Wire by Optimal Homotopy Asymptotic Method. International Journal of Computer Applications. 143, 2 ( Jun 2016), 1-4. DOI=10.5120/ijca2016910016

@article{ 10.5120/ijca2016910016,
author = { M. Khalid, Mariam Sultana, Faheem Zaidi, Azhar Iqbal },
title = { Approximate Solution for Nonlinear Oscillation of a Mass Attached to a Stretched Elastic Wire by Optimal Homotopy Asymptotic Method },
journal = { International Journal of Computer Applications },
issue_date = { Jun 2016 },
volume = { 143 },
number = { 2 },
month = { Jun },
year = { 2016 },
issn = { 0975-8887 },
pages = { 1-4 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume143/number2/25046-2016910016/ },
doi = { 10.5120/ijca2016910016 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:45:14.182367+05:30
%A M. Khalid
%A Mariam Sultana
%A Faheem Zaidi
%A Azhar Iqbal
%T Approximate Solution for Nonlinear Oscillation of a Mass Attached to a Stretched Elastic Wire by Optimal Homotopy Asymptotic Method
%J International Journal of Computer Applications
%@ 0975-8887
%V 143
%N 2
%P 1-4
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A precise solution of a mathematical model of a mass connected to an elastic wire is being given in this work. The Optimal Homotopy Asymptotic Method is applied to solve this conventional model. Also, comparison with other numerical methodologies and its exact solution will be given for distinct amplitude of oscillations and compliance can be observed. Results suggest that this technique is useful for solving non-linear oscillatory system quite easily. The solution procedure confirm that this method can be easily extended to other kinds of non-linear oscillators.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Optimal Homotopy Asymptotic Method Non-linear Oscillatory System Small and Large Amplitude Highest Degree of Accuracy

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