Abstract

In this paper, we introduce a new version of the homotopy perturbation method (NHPM) that efficiently solves linear and non-linear ordinary differential equations. Several examples, including Euler-Lagrange, Bernoulli and Ricatti differential equations, are given to demonstrate the efficiency of the new method. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010

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