Improved Lindstedt-Poincare method for the solution of nonlinear problems
Amore, Paolo ; Aranda, Alfredo
arXiv, 0303052 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-03-23
Classification:  Mathematical Physics 
@article{0303052,
     author = {Amore, Paolo and Aranda, Alfredo},
     title = {Improved Lindstedt-Poincare method for the solution of nonlinear
  problems},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0303052}
}

Amore, Paolo; Aranda, Alfredo. Improved Lindstedt-Poincare method for the solution of nonlinear
  problems. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0303052/