Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
760029 | Communications in Nonlinear Science and Numerical Simulation | 2009 | 11 Pages |
Abstract
In this paper, approximate and/or exact analytical solutions of singular initial value problems (IVPs) of the Emden–Fowler type in the second-order ordinary differential equations (ODEs) are obtained by the homotopy analysis method (HAM). The HAM solutions contain an auxiliary parameter which provides a convenient way of controlling the convergence region of the series solutions. It is shown that the solutions obtained by the Adomian decomposition method (ADM) and the homotopy-perturbation method (HPM) are only special cases of the HAM solutions.
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Authors
A. Sami Bataineh, M.S.M. Noorani, I. Hashim,