A Cubic Legendre spline collocation method to solve Volterra-Fredholm integro differential equation

In this paper, a new approach to solve Volterra-Fredholm integro differential equation has been introduced. Cubic Legendre spline collocation technique is used to solve Volterra-Fredholm integro differential equation. Using this novel approach we have tried to achieve more accuracy compare to other traditional methods. Using the prescribed method the solution of this problem is reduce to a linear system of equations. The results demonstrate the applicability and accuracy of the technique.