Application of QLM-Rational Legendre collocation method towards Eyring-Powell fluid model

Abstract

In this paper, a spectral method based on the rational Legendre functions is discussed to approximate the solution of the boundary layer flow of an Eyring-Powell non-Newtonian fluid over a stretching sheet. At first, because of the model is a nonlinear ordinary differential equation, we construct a sequence of linear ordinary differential equations (ODEs) by using the quasilinearization method (QLM). By applying QLM on the ODEs at each iteration, the equations convert to a system of linear algebraic equations. The present results have shown the high attention and convergence of our method, and the residual error of the present results are very small. In addition, the effect of the Eyring-Powell fluid material parameters is explained.

Keywords

• Boundary Layer Flow
• Eyring-Powell Non-Newtonian Fluid
• Rational Legendre Functions
• Quasilinearization Method
• 76A05
• 74S25
• 76D05
• 76M55
• 34B40