M. Mohamadi - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
E. Babolian - Department of mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
S. Yousefi - Department of Mathematics, Shahid Beheshti University, G. C. Tehran, Iran.

In this paper, we present a new computational method to solve Volterra integral equations of the first kind based on Bernstein polynomials. In this method, using operational matrices turn the integral equation into a system of equations. The computed operational matrices are exact and new. The comparisons show this method is acceptable. Moreover, the stability of the proposed method is studied.

Volterra integral equation, Bernstein polynomials, Operational matrices, Transformation matrices