M. Mohammadi - Department of Mathematics, South Tehran ‎Branch, ‎Islamic Azad university, Tehran, ‎Iran‎.
A. R. Vahidi - Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, ‎Iran.‎
T. Damercheli - Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, ‎Iran.
S. Khezerloo - Department of Mathematics, South Tehran ‎Branch, ‎Islamic Azad university, Tehran, ‎Iran.‎
M. Nouri - Department of Mathematics, South Tehran ‎Branch, ‎Islamic Azad university, Tehran, ‎Iran.‎

In this paper, we consider Volterra integral equations of the first kind. Then by extending the modified Block-pulse functions(MBPFs) on the Volterra integral equation of the second kind obtained from Volterra integral equation of the first kind, we obtain the approximate solution. Some theorems are proved to provide an error analysis for proposed method. Numerical examples show that the proposed scheme has a suitable degree of accuracy.

Volterra integral equation of the first kind, Block-pulse functions, Operational matrix, Function expansion, ‎Convergence