A novel hybrid spectral-variational iteration method (H-S-VIM) for solving nonlinear equations arising in heat transfer

Document Type : Regular Paper


1 Department of Mathematics, Yazd University P.O. Box: 89195-741 Yazd, Iran

2 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

3 Department of Mathematics, Science Faculty, Ege University, 35100 Bornova-Izmir, Turkey


The purpose of this study is to implement a new modification of the variational iteration method (H-S-VIM), which is a combination of spectral method and variational iteration method for heat transfer problems with high nonlinearity order. The merit of this method is that it does not require the solution of any linear or nonlinear system of equations unlike spectral method. Furthermore the proposed method is easy to implement and computationally very attractive. Here, H-S-VIM is used to solve an unsteady nonlinear convective-radiative equation containing two small parameters,  and . It is observed that H-S-VIM may be implemented on other strongly nonlinear models of physical nature.