Some recent numerical methods for solving nonlinear Hammerstein integral equations (Q1324257)

The author considers various numerical methods, namely, the Galerkin and collocation method and Adomian's decomposition method for the solutions of the problem \(x = H(x)\), where \(H\) is a nonlinear integral operator. He establishes the convergence of Adomian's method applied to the Hammerstein nonlinear integral equation \(\kappa(t) = y(t) + \int^ R_{-R} K(t,s) f(s,\kappa(s))ds\), \(R > 0\).