An easy trick to a periodic solution of relativistic harmonic oscillator | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 22, Issue 1, 2014, Pages 45-49 PDF (659.54 K) | ||
| Document Type: Original Article | ||
| DOI: 10.1016/j.joems.2013.04.013 | ||
| Authors | ||
| Jafar Biazar; Mohammad Hosami | ||
| Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 41335-1914, Guilan, Rasht, Iran | ||
| Abstract | ||
| In this paper, the relativistic harmonic oscillator equation which is a nonlinear ordinary differential equation is investigated by Homotopy perturbation method. Selection of a linear operator, which is a part of the main operator, is one of the main steps in HPM. If the aim is to obtain a periodic solution, this choice does not work here. To overcome this lack, a linear operator is imposed, and Fourier series of sines will be used in solving the linear equations arise in the HPM. Comparison of the results, with those of resulted by Differential Transformation and Harmonic Balance Method, shows an excellent agreement. | ||
| Keywords | ||
| Homotopy perturbation method; Nonlinear ordinary differential equations; Relativistic harmonic oscillator; Fourier series | ||
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