Abstract :
This paper presents a direct second-order finite-difference solution of the two-point boundary value
problem derived from the classical third-order Blasius problem using the Crocco-Wang transformation. Noting the end-point singularity introduced by the Crocco-Wang transformation due to a zero
boundary condition, the method provides special handling of this singularity to ensure second-order
accuracy. Additionally, the method uses an extrapolation procedure to obtain results of increased accuracy. We compare our computed solution with an approximate analytical solution and numerical
solutions previously reported and find that our results are in excellent agreement.