Numerical Approximate Solution to Flow over a Flat Plate ( the Balusis
Problem) By Perturbation Iteration- Algorithm
Abstract
This paper applied perturbation iteration- algorithm (PI-A) to solve the
problem of the incompressible two-dimensional laminar boundary layer
flow over a flat plat as wall as called the Blasius problem (BP). BP is
governed by Navier- Stokes equation (NSE) and continuity equation which
were transformed into ordinary differential equation using similarity
transforms. The results presented are tabulated for similarity stream
function and can be seen highly of accuracy through comparable with that
obtained by Ganji et al.[3] who studied BP using Homotopy
perturbation technique (HPT) , Research results for the same problem
using the variationally This paper applied perturbation iteration-
algorithm (PI-A) to solve the problem of the incompressible
two-dimensional laminar boundary layer flow over a flat plat as wall as
called the Blasius problem (BP). BP is governed by Navier- Stokes
equation (NSE) and continuity equation which were transformed into
ordinary differential equation using similarity transforms. The results
presented are tabulated for similarity stream function and can be seen
highly of accuracy through comparable with that obtained by Ganja et
al.[3] who studied BP using Homotopy perturbation technique (HPT) ,
Research results for the same problem using the variational iteration
technique (VIT) before Aiyesimi and Niyi[5] and results numerical by
Blasius[1]. Finally, The method that is efficient and widely
applicable for solving ODE.