A Modification in Successive Approximation Method for Solving Nonlinear Volterra Hammerstein Integral Equations of the Second Kind

This paper presents a modification of successive approximation method by using projection operator to solve nonlinear Volterra- Hammerstein integral equations of the second kind. In this paper, it is proved that under some conditions the sequence of iterated solutions converges to the exact solution. Applicability of this modification has been shown with some numerical examples. Comparisons with some other methods are also addressed which highlight superiority of the method.