TY - JOUR
TI - Assessment of homotopy perturbation method in nonlinear convective-radiative non-Fourier conduction heat transfer equation with variable coefficient
AU - Torabi Mohsen
AU - Yaghoobi Hessameddin
AU - Saedodin Seyfolah
JN - Thermal Science
PY - 2011
VL - 15
IS - 12
SP - 263
EP - 274
PT - Article
AB - Analytical solutions play a very important role in heat transfer. In this  paper, the He's homotopy perturbation method (HPM) has been applied to  nonlinear convective-radiative non-Fourier conduction heat transfer equation  with variable specific heat coefficient. The concept of the He's homotopy  perturbation method are introduced briefly for applying this method for  problem solving. The results of HPM as an analytical solution are then  compared with those derived from the established numerical solution obtained  by the fourth order Runge-Kutta method in order to verify the accuracy of the  proposed method. The results reveal that the HPM is very effective and  convenient in predicting the solution of such problems, and it is predicted  that HPM can find a wide application in new engineering problems.