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Peer-Reviewed Article July 29, 2014

On the convergence of Homotopy perturbation method

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Published in: Journal of the Egyptian Mathematical Society
Publisher: Springer Science+Business Media • Egypt • 1110-256X
DOI: https://doi.org/10.1016/j.joems.2014.06.015

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.

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