This study presents the solution of the second type of a two-dimensional nonlinear integral
equation in Banach space. Also, the existence and uniqueness of this equation’s solution are
discussed. We utilize a numerical approach involving hybrid and block-pulse functions to obtain
the approximate solution of a two-dimensional nonlinear integral equation. Nonlinear integral
equation in two dimensions is reduced numerically to a system of nonlinear algebraic equations
that can be solved using numerical methods. This study focuses on showing the convergence
analysis for the numerical approach and obtaining an error estimate. Some numerical examples
have been provided to demonstrate the approach’s viability and efficacy