ANALYTICAL SOLUTION OF THE MAGNETO-HYDRODYNAMIC FLOW OVER A NONLINEAR STRETCHING SHEET

In this paper, the homotopy perturbation method (HPM) and the Pade approximation are employed to investigate the magneto-hydrodynamic (MHD) boundary layer flow over a nonlinear stretching sheet, which occurs in many important engineering applications, such as the power generator, the cooling of reactors and the design of heat exchangers. The validity of results is verified by comparison with exact results and is shown in tables and graphs. It is found that the HPM is a user-friendly, powerful tool for solving complicated problems in physics and mathematics, and that in particular it has good accuracy as compared with exact results.

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

[2]  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 .

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

[4]  Davood Domiri Ganji,et al.  Application of variational iteration method and homotopy–perturbation method for nonlinear heat diffusion and heat transfer equations , 2007 .

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

[6]  Ji-Huan He.  SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS , 2006 .

[7]  Ji-Huan He.  A coupling method of a homotopy technique and a perturbation technique for non-linear problems , 2000 .

[8]  I. Hashim,et al.  Series solution of flow over nonlinearly stretching sheet with chemical reaction and magnetic field , 2008 .

[9]  J. Boyd.  Pade´ approximant algorithm for solving nonlinear ordinary differential equation boundary value problems on an unbounded domain , 1997 .

[10]  S. Momani,et al.  ANALYTICAL COMPARISON BETWEEN THE HOMOTOPY PERTURBATION METHOD AND VARIATIONAL ITERATION METHOD FOR DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER , 2008 .

[11]  Ji-Huan He,et al.  A simple perturbation approach to Blasius equation , 2003, Appl. Math. Comput..

[12]  Ji-Huan He,et al.  Addendum:. New Interpretation of Homotopy Perturbation Method , 2006 .

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

[14]  Davood Domiri Ganji,et al.  A new modification of He’s homotopy perturbation method for rapid convergence of nonlinear undamped oscillators , 2009 .

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

[16]  A. Ranjbar,et al.  Maintaining the stability of nonlinear differential equations by the enhancement of HPM , 2008 .

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