African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 231

Full Length Research Paper

More accurate approximate analytical solution of pendulum with rotating support

Md. Helal Uddin Molla
  • Md. Helal Uddin Molla
  • Department of Mathematics, Rajshahi University of Engineering and Technology (RUET), Kazla, Rajshahi 6204, Bangladesh.
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M. S. Alam
  • M. S. Alam
  • Department of Mathematics, Rajshahi University of Engineering and Technology (RUET), Kazla, Rajshahi 6204, Bangladesh.
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  •  Received: 08 February 2017
  •  Accepted: 05 April 2017
  •  Published: 30 June 2017

Abstract

Based on the energy balance method (EBM), a more accurate analytical solution of the pendulum equation with rotating support was presented. The results were compared with those obtained by the differential transformation method (DTM) and He’s improved energy balance method. It was shown that the results are more accurate than the said methods.

Key words: Energy balance method, approximate solutions, nonlinear oscillators, pendulum with rotating support.