An Application of Homotopy Perturbation Method for Non-linear Blasius Equation to Boundary Layer Flow Over a Flat Plate

In this article, the problem of an incompressible viscous flow over a flat plate is presented. The homotopy perturbation method (HPM) is employed to solve the well-known Blasius nonlinear differential equation. It has been tried to use a new technique by which one be able to obtain solutions that are very close to the exact solution of the equation. The obtained results have been compared with the exact solution of Blasius equation and another results ob- tained in previous works so that the high accuracy of results are clear.

[1]  Melvin Epstein,et al.  On the Solution of the Laminar Boundary-Layer Equations , 1959 .

[2]  Davood Domiri Ganji,et al.  Solution of the Generalized Nonlinear Boussinesq Equation Using Homotopy Perturbation and Variational Iteration Methods , 2007 .

[3]  M. A. Abdou,et al.  New Applications of the Homotopy Analysis Method , 2008 .

[4]  Ji-Huan He.  Limit cycle and bifurcation of nonlinear problems , 2005 .

[5]  Davood Domiri Ganji,et al.  New Application of He's Homotopy Perturbation Method , 2007 .

[6]  Saeid Abbasbandy,et al.  A numerical solution of Blasius equation by Adomian’s decomposition method and comparison with homotopy perturbation method , 2007 .

[7]  Davood Domiri Ganji,et al.  Application of He's homotopy perturbation method to boundary layer flow and convection heat transfer over a flat plate , 2007 .

[8]  Saeid Abbasbandy,et al.  Numerical solutions of the integral equations: Homotopy perturbation method and Adomian's decomposition method , 2006, Appl. Math. Comput..

[9]  Ji-Huan He.  Application of homotopy perturbation method to nonlinear wave equations , 2005 .

[10]  Ji-Huan He.  Homotopy perturbation technique , 1999 .

[11]  Ji-Huan He,et al.  Comparison of homotopy perturbation method and homotopy analysis method , 2004, Appl. Math. Comput..

[12]  D. Ganji.  The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer , 2006 .

[13]  Davood Domiri Ganji,et al.  Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations , 2007 .

[14]  Ji-Huan He,et al.  Homotopy perturbation method: a new nonlinear analytical technique , 2003, Appl. Math. Comput..

[15]  Davood Domiri Ganji,et al.  Application of homotopy perturbation method in nonlinear heat conduction and convection equations , 2007 .

[16]  Ji-Huan He,et al.  The homotopy perturbation method for nonlinear oscillators with discontinuities , 2004, Appl. Math. Comput..

[17]  Jafar Biazar,et al.  Exact solutions for non-linear Schrödinger equations by He's homotopy perturbation method , 2007 .

[18]  Ji-Huan He.  HOMOTOPY PERTURBATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS , 2006 .

[19]  M. A. Abdou.  New exact travelling wave solutions for the generalized nonlinear Schroedinger equation with a source , 2008 .

[20]  Davood Domiri Ganji,et al.  Solitary wave solutions for a generalized Hirota–Satsuma coupled KdV equation by homotopy perturbation method , 2006 .

[21]  Davood Domiri Ganji,et al.  Application of homotopy perturbation method to the RLW and generalized modified Boussinesq equations , 2007 .