Fredholm and Volterra integral equations appear for a number of branches of engineering sciences such as acoustic study, optics theory, laser, potential theory, and radioactive radiation theory, study of heart disease curves, fluid mechanics, and communication and so on. Since in most cases it is not possible to find an analytical solution of the problem, so it is necessary to find numerical solution of under consideration problem. In this research project, for the first time, the idea of a modified Simpson’s quadrature method was proposed and it was used to obtain numerical solution of the second type of Fredholm linear integral equations. Using this method, the second type Fredholm linear integral equations will be transformed into a set of algebraic equations. Then we show that the approximate solution of the second type Fredholm linear integral equations are highly accurate. Furthermore, error approximation of second type Fredholm linear integral equations for modified Simpson’s quadrature method is O(h^6).
