A note on exact solutions for nonlinear integral equations by a modified homotopy perturbation method

In the paper "Exact solutions for nonlinear integral equations by a modified homotopy perturbation method" by A. Ghorbani and J. Saberi-Nadjafi, Computers and Mathematics with Applications, 56, (2008) 1032-1039, the authors introduced a new modification of the homotopy perturbation method...

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Bibliographic Details
Main Authors: Hossein Jafari, Maryam Ghorbani, Saber Ghasempour
Format: Article
Language:English
Published: BİSKA Bilisim Company 2013-12-01
Series:New Trends in Mathematical Sciences
Subjects:
Online Access:https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=17
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Summary:In the paper "Exact solutions for nonlinear integral equations by a modified homotopy perturbation method" by A. Ghorbani and J. Saberi-Nadjafi, Computers and Mathematics with Applications, 56, (2008) 1032-1039, the authors introduced a new modification of the homotopy perturbation method to solve nonlinear integral equations.We discuss here the restrictions on their method for solving nonlinear integral equations. We also prove analytically that the method given by Ghorbani and Saberi-Nadjafi is equivalent to the series solution method when selective functions are polynomials.
ISSN:2147-5520
2147-5520