He's homotopy perturbation method: An effective tool for solving nonlinear integral and integro-differential equations

Authors:
Jafar Saberi-Nadjafi;Asghar Ghorbani
Affiliations:
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran;Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 2
Cited 2

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A review of the decomposition method and some recent results for nonlinear equations

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Abstract

In this paper, we conduct a comparative study among He's homotopy perturbation method and three traditional methods for an analytic and approximate treatment of nonlinear integral and integro-differential equations. The proper implementation of He's homotopy perturbation method can extremely minimize the size of work if compared to existing traditional techniques. The analysis is accompanied by examples that demonstrate the comparison, and shows the pertinent features of the homotopy perturbation technique.