Multistage Integral Mean Value Method for the Fredholm Integral Equations of the Second Kind

Ahmad Molabahrami, Sakineh Niasadegh

Abstract

In this paper, a modified multistage integral mean value method, for handling theFredholm 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 \textsc{Mathematica} programs based on the procedures in this paper are designed.