Approximate Solution for Nonlinear Oscillation of a Mass Attached to a Stretched Elastic Wire by Optimal Homotopy Asymptotic Method
Author(s) -
Muhammad Khalid,
Mariam Sultana,
Faheem Zaidi,
Azhar Iqbal
Publication year - 2016
Publication title -
international journal of computer applications
Language(s) - English
Resource type - Journals
ISSN - 0975-8887
DOI - 10.5120/ijca2016910016
Subject(s) - oscillation (cell signaling) , computer science , nonlinear system , homotopy analysis method , homotopy , homotopy perturbation method , mathematics , mathematical optimization , physics , pure mathematics , chemistry , quantum mechanics , biochemistry
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.
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