Modification of the Homotopy Perturbation Method and It's Convergence

Zainab AYATI; Jafar BIAZAR

Authors

Zainab AYATI Department of Engineering Sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, Rudsar-Vajargah
Jafar BIAZAR Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht

Keywords:

Homotopy perturbation method, functional equation, new Iterative method, convergence

Abstract

There are some methods to obtain approximate solutions of functional equations. One of them is the homotopy perturbation method. However, computing coefficients of p^j, is time-consuming and challenging. In order to deal with this problem, a new modified homotopy perturbation method is introduced, which doesn't need computations of the coefficients of p^j. Here, the method has been applied to solve some examples and the results have been compared with those obtained from the homotopy perturbation method. Moreover, convergence of the method has been discussed.

doi:10.14456/WJST.2014.15

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Author Biographies

Zainab AYATI, Department of Engineering Sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, Rudsar-Vajargah

Department of Applied Mathematics

Jafar BIAZAR, Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht

Department of Applied Mathematics

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