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

This paper presents a modification of successive approximationmethod by using projection operator to solve nonlinear volterra-hammerstein integral equations of the second kind. in this paper, it isproved that under some conditions the sequence of iterated solutionsconverges to the exact solution. applicability of this modification hasbeen shown with some numerical examples. comparisons with someother methods are also addressed which highlight superiority of themethod.