USING PERTURBATION METHODS AND LAPLACE-PADE APPROXIMATION TO SOLVE NONLINEAR PROBLEMS


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FILOBELLO-NINO U., VAZQUEZ-LEAL H., KHAN Y., YILDIRIM A. , JIMENEZ-FERNANDEZ V. M. , HERRERA-MAY A. L. , ...Daha Fazla

MISKOLC MATHEMATICAL NOTES, cilt.14, ss.89-101, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 14 Konu: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.18514/mmn.2013.517
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Sayfa Sayıları: ss.89-101

Özet

In this paper, the perturbation method and Pade transformation are used to provide an approximate solution of elliptic integrals of the second kind and of complete integrals of the first kind. Besides, we used the obtained results to calculate an analytic expression for the period of a simple pendulum. The method has an acceptable accuracy for high values of the initial amplitude, compared to the relative error < 1.7% for initial angles theta <= 70 degrees