Iterative cubic trapezoidal rule for the solution of mixed integral equations

Abstract

In this study, an efficient iterative numerical technique based on a trapezoidal formula will be proposed to solve nonlinear (mixed) Volterra and Fredholm integral equations of the second kind in any dimension. Also, we will prove the rate of convergence and the convergence analysis of the iterative method. Furthermore, some numerical examples are considered to confirm the applicability of the method.