Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder

In this paper, a spectral collocation approach based on the rational Chebyshev func- tions for solving the axisymmetric stagnation point ow on an in nite stationary cir- cular cylinder is suggested. The Navier-Stokes equations which govern the ow, are changed to a boundary value problem with a semi-in nite domain and a third-order nonlinear ordinary di erential equation by applying proper similarity transforma- tions. The approach is named the rational Chebyshev collocation (RCC) method. This method reduces this nonlinear ordinary di erential equation to an algebraic equations system. RCC method is a strong kind of the collocation technique to solve the problems of boundary value over a semi-in nite interval without truncat- ing them to a nite domain. We also present the comparison of this work with others and show that the present method is more e ective and precise