Abstract

FILOBELLO-NINO, U. et al. Modified nonlinearities distribution Homotopy Perturbation method as a tool to find power series solutions to ordinary differential equations. Nova scientia [online]. 2014, vol.6, n.12, pp.13-38. ISSN 2007-0705.

In this article, modified non-linearities distribution homotopy perturbation method (MNDHPM) is used in order to find power series solutions to ordinary differential equations with initial conditions, both linear and nonlinear. We will see that the method is particularly relevant in some cases of equations with non-polynomial coefficients and inhomogeneous non-polynomial terms.

Keywords : differential equations; power series solutions; Homotopy perturbation method; Homotopy perturbation method with no linearities distributions; approximate methods.

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