Coupling of homotopy perturbation, Laplace transform and Padé approximants for nonlinear oscillatory systems

In this article, homotopy perturbation method coupled with Laplace transform and Padé 0approximants is applied on the re-formulated nonlinear oscillatory systems. Numerical results and graphical represenations explicitly reveal the complete reliability and effeicincy of the suggested algorithm. © IDOSI Publications, 2012

Modified variational iteration method for free-convective boundary-layer equation using padé approximation

This paper is devoted to the study of a free-convective boundary-layer flow modeled by a system of nonlinear ordinary differential equations. We apply a modified variational iteration method (MVIM) coupled with He's polynomials and Padé approximation to solve free-convective boundary-layer equation. It is observed that the combination of MVIM and the Padé approximation improves the accuracy and enlarges the convergence domain. Copyright © 2010 Syed Tauseef Mohyud-Din et al