Using modified generalized Laguerre functions, QLM and collocation method for solving an Eyring–Powell problem

Abstract

The purpose of this paper is to introduce an effective strategy for solving boundary layer flow of an Eyring-Powell fluid over a stretching sheet in unbounded domain. This paper introduces a combination of Modified Generalized Laguerre, the quasi-linearization method, and Collocation method for solving boundary layer flow of an Eyring-Powell fluid over a stretching sheet in unbounded domain. Applying this technique leads to obtaining suitable results and less error. Moreover, the effect of different values of the Eyring-Powell fluid material parameters is investigated and the results show that by increasing the parameter (m), velocity increases, and by increasing the parameter (n), velocity decreases.

A numerical approach based on B-spline basis functions to solve boundary layer flow model of a non-Newtonian fluid

“…ing the problem on a infinite, (− ∞, ∞) or semi-infinite intervals like [0, ∞) it will be solved on an bounded interval like [− M, M] for an arbitrary M which is large enough to be an appropriate substitute for the original condition [13]. 3.…”