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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
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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
  1. Sun, W.P., Wu, B.S., Lim, C.W. (2007) Approximate Analytical Solutions for Oscillation of a Mass Attached to a Stretched Elastic Wire, Journal of Sound and Vibration, 300. pp. 1042–1047.
  2. Mickens, R.E. (1996) Oscillations in Planar Dynamics System, World Scientific Publishing, Singapore.
  3. Lan, X. (2007) Application of He’s Parameter Expansion Method to an Oscillation of a Mass Attached to a Stretched Elastic Wire, Physics Letter A, 368. pp. 259–262.
  4. Jamshidi, N., Ganji, D.D. (2010) Application of Energy Balance Method and Variational Iteration Method to an Oscillation of a Mass Attached to a Stretched Elastic Wire, Current Applied Physics, 10. pp. 484–486.
  5. Beledez, A., Hernandez, A., Beledez, T., Alvarez, M.L., Gallego, S., Ortuno, M., Neipp, C. (2007) Application of the Harmonic Balance Method to a Nonlinear Oscillator Typified by a Mass Attached to a Stretched Wire, Journal of Sound and Vibration, 302. pp. 1018–1029.
  6. Beledez, A., Beledez, T., Neipp, C., Alvarez, M.L., Hernandez, A. (2009) Approximate Solutions of a Nonlinear Oscillator Typified as a Mass Attached to a Stretched Elastic Wire by the Homotopy Perturbation Method, Chaos Solitons Fractals, 39. pp. 746–764.
  7. Geng, F. (2011) A Piecewise Variational Iteration Method for Treating a Nonlinear Oscillator of a Mass Attached to a Stretched Elastic Wire, Computers and Mathematics with Applications, 62. pp. 1641–1644.
  8. Marinca, V., Herisanu, N. (2008) Application of Homotopy Asymptotic Method for Solving Non-linear Equations Arising in Heat Transfer, International Communications in Heat and Mass Transfer, 35(6). pp. 710–715.
  9. Herisanu, N., Marinca, V. (2010) Accurate Analytical Solutions to Oscillators with Discontinuities and Fractional- Power Restoring Force by Means of the Optimal Homotopy Asymptotic Method, Computer and Mathematics with Applications, 60(6). pp. 1607–1615.
  10. Marinca, V., Herisanu, N. (2014) The Optimal Homotopy Asymptotic Method for Solving Blasius Equation, Applied Mathematics and Computation, 231. pp. 134–139.
  11. Iqbal, S., Idrees, M., Siddiqui, A.M., Ansari, A.R. (2010) Some Solutions of the Linear and Nonlinear Klein- Gordon Equations Using the Optimal Homotopy Asymptotic Method, Applied Mathematics and Computation, 216(10). pp. 2898–2909.
  12. Iqbal, S., Javed, A. (2011) Application of Optimal Homotopy Asymptotic Method for the Analytic Solution of Singular Lane-Emden Type Equation, Applied Mathematics and Computation, 217(9). pp. 7753–7761.
  13. Hashmi, M.S., Khan, N., Iqbal, S. (2012) Optimal Homotopy Asymptotic Method for Solving Nonlinear Fredholm Integral Equations of Second Kind, Applied Mathematics and Computation, 218(22). pp. 10982-10989.
  14. Khan, N., Mahmood, T., Hashmi, M.S. (2013) OHAM Solution for Thin Film Flow of a Third Order Fluid Through Porous Medium over an Inclined Plane, Heat Transfer Research, 44(8). pp. 1-13.
  15. Hashmi, M.S., Khan, N., Mahmood, T. (2013) Optimal Homotopy Asymptotic Solution for Thin Film Flow of a Third Order Fluid with Partial Slip, World Applied Sciences Journal, 21(12). pp. 1782–1788.
  16. Marinca, V., Herisanu, N. (2010) Determination of Periodic Solutions for the Motion of a Particle on a Rotating Parabola by Means of the Optimal Homotopy Asymptotic Method, Journal of Sound and Vibration, 329(6). pp. 1450– 1459.
  17. Khalid, M., Mariam, S., Faheem, Z., Aurangzaib. (2016) A Numerical Solution of Troeschs Problem via Optimal Homotopy Asymptotic Method, International Journal of Computer Applications, 140(5). pp. 1–5.
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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