Assessment of homotopy perturbation method in non-linear convective-radiative non-fourier conduction heat transfer equation with variable coefficient

Analytical solutions play a very important role in heat transfer. In this paper, the He's homotopy perturbation method has been applied to non-linear convective-radiative non-Fourier conduction heat transfer equation with variable specific heat coefficient. The concept of the He's homotopy perturbation method are introducedbriefly for applying this method for problem solving. The results of the homotopy perturbation method 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 homotopy perturbation method is very effective and convenient in predicting the solution of such problems, and it is predicted that it can find a wide application in new engineering problems.