Homotopy analysis method for heat radiation equations

Here, the homotopy analysis method (HAM), one of the newest analytical methods which is powerful and easy-to-use, is applied to solve heat transfer problems with high nonlinearity order. Also, the results are compared with the perturbation and numerical Runge-Kutta methods and homotopy perturbation method (HPM). Here, homotopy analysis method is used to solve an unsteady nonlinear convective-radiative equation containing two small parameters of E-1 and E-2. The homotopy analysis method contains the auxiliary parameter H, which provides us with a simple way to adjust and control the convergence region of solution series. (c) 2006 Elsevier Ltd. All rights reserved.