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

Author(s):

Mohsen Mohamadi , Esmail Babolian * , Sohrabali Yousefi

Article Type:
Research/Original Article (دارای رتبه معتبر)
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:

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

Language:
English
Published:
International Journal of Industrial Mathematics, Volume:10 Issue: 1, Winter 2018
Pages:
19 to 27
https://www.magiran.com/p1824930