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On the convergence of Homotopy perturbation method

Zainab AyatiDepartment of Engineering Sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, PC 44891-63157 Rudsar-Vajargah, IranJafar BiazarFaculty of Mathematical Science, University of Guilan, Department of Applied Mathematics, P.O. Box 41635-19141, PC 4193-833697 Rasht, Iran
2014en
ABI

Аннотация

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.

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