TY - JOUR A2 - Hayat, Tasawar AU - Bataineh, A. Sami AU - Noorani, M. S. M. AU - Hashim, I. PY - 2009 DA - 2009/08/02 TI - Direct Solution of-Order IVPs by Homotopy Analysis Method SP - 842094 VL - 2009 AB - Direct solution of a class of n th -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). SN - 1687-9643 UR - https://doi.org/10.1155/2009/842094 DO - 10.1155/2009/842094 JF - Differential Equations and Nonlinear Mechanics PB - Hindawi Publishing Corporation KW - ER -