Exponential Bernstein functions: an effective tool for the solution of heat transfer of a micropolar fluid through a porous medium with radiation

Abstract

In this study, an effective collocation method using new weighted orthogonal basis functions on the half-line, namely the exponential Bernstein functions, is proposed for simulating the solution of the heat transfer of a micropolar fluid through a porous medium with radiation. The governing equations and their associated boundary conditions can be written as a system of nonlinear ordinary differential equations. The presented approach does not require truncating or transforming the semi-infinite domain of the problem to a finite domain. In addition, this method reduces the solution of the problem to the solution of a system of algebraic equations. The effects of the coupling constant, radiation parameter and the permeability parameter on velocity and temperature profiles will be discussed in detail and shown graphically. A comparative study with the previous results of viscous fluid in the literature is made.