On the convergence of Homotopy perturbation method

Ayati, Zainab; Biazar, Jafar

doi:10.21608/joems.2015.382562

On the convergence of Homotopy perturbation method

Document Type : Original Article

Authors

Zainab Ayati ¹
Jafar Biazar ²

¹ Department of Engineering Sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, PC 44891-63157 Rudsar-Vajargah, Iran

² Faculty of Mathematical Science, University of Guilan, Department of Applied Mathematics, P.O. Box 41635-19141, PC 4193-833697 Rasht, Iran

10.21608/joems.2015.382562

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.

Keywords