The Second Kind of Nonlinear Volterra-Hammerstein Integral Equations: A Change to the Successive Approximation Method

Abstract

In order to solve second-kind nonlinear Volterra-
Hammerstein integral equations, this study offers a variant of
the successive approximation approach that makes use of the
projection operator. The proof of convergence to the precise
solution occurs under certain circumstances in the series of
iterated solutions in this work. Some numerical examples
have shown the applicability of this modification. The
method's superiority is further shown by comparisons with
other approaches.