Fixed point theorem on volterra integral equation

Abstract

This paper discussed the fixed-point theorem in the metric space and its application to the second linear volterra integral equation. This research is done by first studying the concept of metric space and its properties. Then, we studied the application on the second linear volterra integral equation. After obtaining sufficient condition to converge second linear integral volterra equation, we solved the equation by Fixed Point iteration method using Matlab R2013a software. The solution obtained was compared with the exact solution. The results of this study indicate that the numerical solution is quite good.