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Section B Special Section: New Analytical Methods

A new analytical method for solving systems of Volterra integral equations

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Pages 1142-1157 | Received 19 Feb 2009, Accepted 16 Jun 2009, Published online: 10 May 2010
 

Abstract

In this paper, a new modified homotopy perturbation method (NHPM) is introduced for solving systems of Volterra integral equations of the second kind. Theorems of existence and uniqueness of the solutions to these equations are presented. Comparison of the results of applying the NHPM with those of the homotopy perturbation method and Adomian's decomposition method leads to significant consequences. Several examples, including the system of linear and nonlinear Volterra integral equations, are given to demonstrate the efficiency of the new method.

2000 AMS Subject Classifications::

Acknowledgements

The author would like to thank both referees for their comments that improved the presentation of the paper.

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