Finite-difference method of order six for the two-dimensional steady and unsteady boundary-layer equations
In this article, we propose a high order method for solving steady and unsteady two-dimensional laminar boundary-layer equations. This method is convergent of sixth-order of accuracy. It is shown that this method is unconditionally stable. The unsteady separated stagnation point flow, the Falkner-Skan equation and Blasius equation are considered as special cases of these equations. Numerical experiments are given to illustrate our method and its convergence.
finite-difference method stagnation point falkner-skan equation blasius equation third-order boundary-value problems