Using perturbation methods and Laplace-Padé approximation to solve nonlinear problems
Makaleler > Tam Makale · 2013
Yazarlar: U. FILOBELLO-NINO, H. VAZQUEZ-LEAL, Y. KHAN, Ahmet YILDIRIM, V. M. JIMENEZ-FERNANDEZ, A. L. HERRERA-MAY, R. CASTANEDA-SHEISSA, J. CERVANTES-PEREZ
Miskolc Mathematical Notes, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2013, cilt 14, ss 89-89
Özet
In this paper, the perturbation method and Padé 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 Â Ä 70 ı .