Improved Lindstedt-Poincare method for the solution of nonlinear problems
数学物理
2016-09-07 v1 math.MP
摘要
We apply the Linear Delta Expansion (LDE) to the Lindstedt-Poincare (``distorted time'') method to find improved approximate solutions to nonlinear problems. We find that our method works very well for a wide range of parameters in the case of the anharmonic oscillator (Duffing equation) and of the non-linear pendulum. The approximate solutions found with this method are better behaved and converge more rapidly to the exact ones than in the simple Lindstedt-Poincar\'e method.
引用
@article{arxiv.math-ph/0303052,
title = {Improved Lindstedt-Poincare method for the solution of nonlinear problems},
author = {Paolo Amore and Alfredo Aranda},
journal= {arXiv preprint arXiv:math-ph/0303052},
year = {2016}
}
备注
24 pages, 7 figures, RevTex4