期刊
MISKOLC MATHEMATICAL NOTES
卷 14, 期 1, 页码 89-101出版社
UNIV MISKOLC INST MATH
DOI: 10.18514/MMN.2013.517
关键词
Perturbation method; nonlinear problems; approximation methods
类别
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
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