In this study, a Boole polynomial based method is presented for solving the linear Fredholm integro-differential equation approximately. In this method, the given problem is reduced to a matrix equation. The solution of the obtained matrix equation is found by using Boole polynomial, its derivatives and collocation points. This solution is obtained as the truncated Boole series which are defined in the interval [a,b]. In order to demonstrate the validity and applicability of the method, numerical examples are included. Also, the error analysis related with residual function is performed and the found approximate solutions are calculated.

In this study, a numerical method is developed for the approximate solution of the linear Volterra integrodifferential equations. This method is based Boole polynomial, its derivatives and the collocation points. The aim is to reduce the given problem, as the linear algebraic equation, to the matrix equation. This matrix equation is solved using Boole collocation points. As a result, the approximate solution is obtained in the truncated Boole series in the interval [a, b]. The exact solution and the approximate solution are included in the study. Also, the error analysis and residual correction calculations are performed in the study. The results have been obtained by using computer program MATLAB.