The block by block method for the numerical solution of the nonlinear two-dimensional Volterra integral equations

In this study, an efficient method is presented for solving nonlinear two-dimensional Volterra integral equations of the second kind. Using block by block method, nonlinear two-dimensional Volterra integral equations reduce to a algebraic equations. Also a theorem is proved for convergence analysis. Numerical examples are presented and results are compared with the analytical solution to demonstrate the validity and applicability of the method.