Developing a computation algorithm for approximation solution of linear fredholm-stieltjes integral equations of second kind using generalized trapezoid quadrature method

Integral Equations (IE) are used in many areas especially in engineering to solve problems. Fredholm integral equations has a wide usage area among integral equations. There are a lot approximated solution methods for Integral equations and the quadrature methods is one of them. The main purpose of this paper is to develop a computation algorithm for approximation solution to the Linear Fredholm Stieltjes Integral Equations of Second Kind using the quadrature method, the Generalized Trapezoid Method (GTM). A few examples are presented at the end to indicate the efficiency and accuracy of the developed algorithm. The ready software package Maple is used for implementations.