LAUSR

In this article, we study the heat transfer problems which typically occur in nonlinear models. Since nonlinearity causes time-consuming and difficulty in finding analytical solutions, we focus on the Chebyshev wavelets method which is a powerful computational scheme for approximating solutions. In the proposed method, we apply the Chebyshev wavelets to expand the solution through the corresponding operational matrix of integration. Moreover, the efficiency of this approach is experimentally compared with the homotopy perturbation method, differential transformation method and variational iteration method which approves the efficiency of our method rather than the analytical methods in overcoming the nonlinearity.