Simin Aghaei Amirkhizi - Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Yaghoub Mahmoudi - Department of Mathematics, Tabriz Branch Islamic Azad University, Tabriz, Iran
Ali Salimi shamloo - Department of Mathematics, Shabestar Branch, Islamic Azad University, Shabestar, Iran

In this paper, for solving linear and nonlinear Volterra integral equations of the first kind with discontinuous kernels, the Adomian decomposition method, and the modified Adomian decomposition method are presented. We convert  the  main equation into the  Volterra integral equation of the second kind. The numerical examples are given to denote the accuracy of the suggested method.

Volterra integral equation, Piecewise continuous kernel, Modified Adomian decomposition method