Using Improved Operationally Matrix for Volterra Integral Equation of the First Type

The purpose of this paper is to find a practical method with simple arithmetic operations to solve the first type of Volterra's integral equation. Using of the piecewise functions and the improved operationally matrix of their integration, the integrally equation of the first type can be decreased to a lower linear sparse relation that should be easily solved directly by replacing from forward. Numerical examples show that the approximate solution has an acceptable and appropriate value.