Eur. Phys. J. Plus (2017) 132: 325
https://doi.org/10.1140/epjp/i2017-11600-0

Regular Article

A numerical investigation of the boundary layer flow of an Eyring-Powell fluid over a stretching sheet via rational Chebyshev functions

¹ Department of Computer Sciences, Shahid Beheshti University, 19697-64166, G.C. Tehran, Iran
² Department of Cognitive Modeling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, G.C. Tehran, Iran

^* e-mail: k_parand@sbu.ac.ir

Received: 27 April 2017
Accepted: 16 June 2017
Published online: 27 July 2017

Abstract

In this paper, a spectral method based on the four kinds of rational Chebyshev functions is proposed to approximate the solution of the boundary layer flow of an Eyring-Powell fluid over a stretching sheet. First, by using the quasilinearization method (QLM), the model which is a nonlinear ordinary differential equation is converted to a sequence of linear ordinary differential equations (ODEs). By applying the proposed method on the ODEs in each iteration, the equations are converted to a system of linear algebraic equations. The results indicate the high accuracy and convergence of our method. Moreover, the effects of the Eyring-Powell fluid material parameters are discussed.