English

Presenting a new method for the solution of nonlinear problems

Mathematical Physics 2009-11-10 v1 Classical Analysis and ODEs math.MP

Abstract

We present a method for the resolution of (oscillatory) nonlinear problems. It is based on the application of the Linear Delta Expansion to the Lindstedt-Poincar\'e method. By applying it to the Duffing equation, we show that our method substantially improves the approximation given by the simple Lindstedt-Poincar\'e method.

Keywords

Cite

@article{arxiv.math-ph/0303042,
  title  = {Presenting a new method for the solution of nonlinear problems},
  author = {Paolo Amore and Alfredo Aranda},
  journal= {arXiv preprint arXiv:math-ph/0303042},
  year   = {2009}
}

Comments

12 pages, 3 figures. LATEX