On the convergence of Homotopy perturbation method

Abstract In many papers, Homotopy perturbation method has been presented as a method for solving non-linear equations of various kinds. Using Homotopy perturbation method, it is possible to find the exact solution or a closed approximate to the solution of the problem. But, only a few works have been considered the problem of convergence of the method. In this paper, convergence of Homotopy perturbation method has been elaborated briefly.

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

[2]  Ji-Huan He New interpretation of homotopy perturbation method , 2006 .

[3]  Asghar Ghorbani,et al.  Beyond Adomian polynomials: He polynomials , 2009 .

[4]  Jafar Biazar,et al.  He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind , 2009 .

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

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

[7]  Saeid Abbasbandy,et al.  Application of He’s homotopy perturbation method to functional integral equations , 2007 .

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

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

[10]  R. Mahmood,et al.  Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder , 2006 .

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

[12]  Qi Wang Homotopy perturbation method for fractional KdV-Burgers equation , 2008 .

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

[14]  Ji-Huan He,et al.  A Modified Perturbation Technique Depending Upon an Artificial Parameter , 2000 .