This paper deals with nonlinear Fredholm integral equations. The decomposition method of Adomian is used. Numerical experiments are given proving the adequacy of the method. But the authors do not know recent results by K. Abbaoui
and Y. Cherruault
[Comput. Math. Appl. 28, No. 5, 103-109 (1994; Zbl 0809.65073
); ibid. 29, No. 7, 103-108 (1995; Zbl 0832.47051
)] for calculating easily, in a recurrent way, the Adomian polynomials. These results allow to decrease the calculation time. Remark that the integral representation is obtained through the Green’s function when applied to boundary value problems.