An approximation scheme to solve steady flow of a third grade fluid via rational Bessel functions

In this work, a numerical Collocation approach based on rational Bessel functions is introduced to solve steady flow of a third-grade non-Newtonian fluid in a porous half space. The problem is described as a nonlinear two-point boundary value equation on a semi infinite interval. We find the simplest solution of the non-dimensional fluid velocity function by utilizing Collocation points over the almost whole domain [0,1), and elucidate the effects of different parameters of interest with the graphical and tabular reports. Our method reduces the problem to the solution of a system of nonlinear equations with unknown Bessel coefficients. The results of the comparison between the present solution and other numerical methods illustrate that the approach is accurate and applicable.

کلیدواژه ها:

Department of Cognitive Modelling ، Institute for Cognitive and Brain Sciences ، Shahid Beheshti University ، G.C. ، Tehran ، Iran