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Explicit approximate solution for finding the natural frequency of the motion of pendulum by using the HAM

Doosthoseini, A ; Sharif University of Technology

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  1. Type of Document: Article
  2. Abstract:
  3. In this work, we use a powerful analytical method called homotopy analysis method (HAM) to derive the frequency of a nonlinear oscillating system. Unlike the perturbation method, the HAM does not require the addition of a small physically parameter to the differential equation. It is applicable to strongly and weakly nonlinear problems. Moreover, the HAM involves an auxiliary parameter, h, which renders the convergence parameter of series solutions Controllable, and increases the convergence, and increases the convergence significantly. This article depicts that the HAM is an efficient and powerful method for solving oscillating systems
  4. Keywords:
  5. Frequency ; Homotopy analysis method (HAM) ; Homotopy perturbation method (HPM) ; Nonlinear oscillation ; Series solutions
  6. Source: Applied Mathematical Sciences ; Volume 3, Issue 21-24 , 2009 , Pages 1023-1030 ; 1312885X (ISSN)
  7. URL: http://www.m-hikari.com/ams/ams-password-2009/ams-password21-24-2009/doostAMS21-24-2009-1.pdf