A note on ”Exact solutions for nonlinear integral equations by a modi?ed homotopy perturbation method”
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.1, No. 2)Publication Date: 2014-12-01
Authors : Hossein Jafari; Maryam Ghorbani; Saber Ghasempour;
Page : 22-26
Keywords : Modified Homotopy perturbation method nonlinear integral equations series solution method.;
Abstract
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.
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Last modified: 2014-11-21 04:26:47