%0 Journal Article
%T Direct Solution of -Order IVPs by Homotopy Analysis Method
%A A. Sami Bataineh
%A M. S. M. Noorani
%A I. Hashim
%J International Journal of Differential Equations
%D 2009
%I Hindawi Publishing Corporation
%R 10.1155/2009/842094
%X Direct solution of a class of nth-order initial value problems (IVPs) is considered based on 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. The HAM gives approximate analytical solutions which are of comparable accuracy to the seven- and eight-order Runge-Kutta method (RK78).
%U http://www.hindawi.com/journals/ijde/2009/842094/