A solution for Volterra Integral Equations of the First Kind Based on Bernstein Polynomials

Document Type: Research Paper

Authors

1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

2 Department of mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

3 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