Penerapan Teorema Titik Tetap pada Sistem Persamaan Integral Volterra

Abstract

The application of the volterra integral equation has developed in the field of demography about viscoelastic material and in the field of mathematical insurance about renewed equations. So many researchers have learned how to find solutions to this type of integral equation. This paper discusses the application of fixed point theorem on the system of linear volterra integral equations consisting of two types of mapping. It is obtained that contractive mapping provides convergence requirements of a system of volterra integral equations. In addition, contractive mapping also provides constructive means to solve the initial value of the integral volterra equation system and the solution can be obtained through an iteration procedure. Calculation of approximation solutions is done using Matlab 2013a.