An application of Keller's method to the solution of an eighth-order nonlinear boundary value problem

An efficient implicit finite difference method, called the Keller's box scheme, is applied to solve an eighth-order nonlinear two-point boundary value problem. The example considered here is the compressible boundary layer equations at a general three-dimensional stagnation point. The solutions obtained are compared with results from other methods and the potential advantages of the method are demonstrated.