Iterative solution of some nonlinear differential equations

We propose an iterative method to solve some non-linear ordinary differential equations. Comparing on the Mathieu, van der Pol and Hill equation of fourth order, we see that this method is much more efficient than the well known methods by Lyapunov or Picard.

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Veröffentlicht in:	Applied mathematics and computation 2011-07, Vol.217 (22), p.9480-9487
Hauptverfasser:	Gadella, M., Lara, L.P., Pronko, G.P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Computation Differential equations Hill equation Iterative methods Iterative solution Iterative solutions Mathematical analysis Mathematical models Mathieu equation Nonlinearity van der Pole equation
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Beschreibung
Zusammenfassung:	We propose an iterative method to solve some non-linear ordinary differential equations. Comparing on the Mathieu, van der Pol and Hill equation of fourth order, we see that this method is much more efficient than the well known methods by Lyapunov or Picard.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2011.04.058