Abstract

In this article, differential transform method was employed to solve Volterra integral equations of the second kind. The procedure of the method is illustrated systematically. In this paper some results useful have been proved for the first time, and they have been used in the solution of these systems. To show the power of this method, some examples have been created (Examples 2 and 3) and solved. The results of them are compared with the results of homotopy perturbation method which has been used to solve the same systems (Biazar and Ghazvini, 2009) by plots. Results of the comparison reveal that, this method is more effective and promising than homotopy perturbation method for Volterra integral equations of the second kind.

Key words: Differential transform method, homotopy perturbation method, systems of Volterra integral equations of the second kind.