Iterative solution of some nonlinear differential equations

Iterative solution of some nonlinear differential equations

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Article ID: iaor20115719
Volume: 217
Issue: 22
Start Page Number: 9480
End Page Number: 9487
Publication Date: Jul 2011
Journal: Applied Mathematics and Computation
Authors: , ,
Keywords: programming: nonlinear
Abstract:

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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