In this paper, a modified multistage integral mean value method, for handling the Fredholm integral equations of the second kind, to improve the accuracy of the solutions, is applied. The application of the proposed algorithm is based on the applying the multistage schema to the modified integral mean value method. Also, the equivalency of integral mean value method and degenerate kernel method (DKM) is established. The efficiency of the approach will be shown by applying the procedure on some prototype examples. The Mathematica programs based on the procedures in this paper are designed.
