Modified generalized Laguerre function Tau method for solving laminar viscous flow: The Blasius equation

The purpose of this paper is to propose a Tau method for solving nonlinear Blasius equation which is a partial differential equation on a flat plate.

The operational matrices of derivative and product of modified generalized Laguerre functions are presented. These matrices together with the Tau method are then utilized to reduce the solution of the Blasius equation to the solution of a system of nonlinear equations.

The paper presents the comparison of this work with some well‐known results and shows that the present solution is highly accurate.

This paper demonstrates solving of the nonlinear Blasius equation with an efficient method.