Development of accurate solutions for a classical oscillator
arXiv:math-ph/0606034 · doi:10.1016/j.jsv.2006.08.022
Abstract
We present a method to obtain arbitrarily accurate solutions for conservative classical oscillators. The method that we propose here works both for small and large nonlinearities and provides simple analytical approximations. A comparison with the standard Lindstedt-Poincaré method is presented, from which the advantages of our method are clear.
11 pages, 2 figures