Some recent numerical methods for solving nonlinear Hammerstein integral equations
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 \(\kappa(t) = y(t) + \int^ R_{-R} K(t,s) f(s,\kappa(s))ds\), \(R > 0\).
scientific article; zbMATH DE number 571403
scientific article