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

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

M. Mohamadi ¹ (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran)
E. Babolian ² (Department of mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran)
S. Yousefi ³ (Department of Mathematics, Shahid Beheshti University, G. C. Tehran, Iran.)

تاریخ دریافت : 1395/12/13 تاریخ پذیرش : 1396/07/30 تاریخ انتشار : 1396/10/11

کلید واژه: Transformation matrices, Volterra integral equation, Bernstein polynomials, Operational matrices,

چکیده مقاله :

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.