Presenting a new method for the solution of nonlinear problems

Details Presenting a new method for the solution of nonlinear problems Presenting a new method for the solution of nonlinear problems

2003-03-18

arxiv.org/abs/math-ph/0303042v1

Physics

Mathematical Physics

12 pages, 3 figures. LATEX

Scientific paper

10.1016/j.physleta.2003.08.001

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.

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