Romberg Algorithm to Solve a System of Nonlinear Fredholm Integral Equations of Second Kind

In this paper, we use Romberg algorithm, to find an approximation solution for a system of nonlinear Fredholm integral equations of the second kind. A comparison between this approximations and exact solutions for four numerical examples are given, depending on the least-square error and running computer time. Our numerical results are obtained by MATLAB 7.0 program and for a system of rank 22, 33 on Personal Computer P4.