Using Bernstein Polynomials for Solving Systems of Volterra Integral Equations of the Second Kind


The aim of this work is to use Bernstein polynomials for deriving some modified quadrature methods for solving systems of the one-dimensional Volterra linear integral equations of the second kind. These are modified Trapezoidal rule and the modified Simpsons 3/8 rule of the first order.
For each method, some numerical examples are solved and computer are written in (Excel), And the results are presented in tabulated forms.
Key words:
Bernstein Polynomials, Trapezoidal Rule, Simpson Rule , Volterra Integral Equation .