NUMERICAL METHODS FOR SOLVING THE FIRST ORDER LINEAR FREDHOLM-VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

Abstract

The aim of this work is to present numerical methods for solving the first order linear Fredholm-Volterra integro-differential equations of the second kind. These methods namely are the repeated Trapezoidal method and the repeated Simpson's 1/3 method. These techniques transform the integro-differential equations to a system of algebraic equations. Some numerical examples are presented to illustrate the efficiency and accuracy of these methods.