Author/Authors :
Mohamadi, M. Department of mathematics - Science and Research Branch, Islamic Azad University, Tehran, Iran , Babolian, E. Department of mathematics - Science and Research Branch, Islamic Azad University, Tehran, Iran , Yousefi, S. Department of Mathematics - Shahid Beheshti University, G. C. Tehran, Iran
Abstract :
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.
Keywords :
Transformation matrices , Volterra integral equation , Bernstein polynomials , Operational matrices
