# Corrections on A numerical method for solving nonlinear Volterra--Fredholm integral equations

## TL;DR

This paper provides corrections to a previous numerical method for solving nonlinear Volterra-Fredholm integral equations, improving discretization accuracy without altering the original main results.

## Contribution

The authors refine the discretization approach for nonlinear Volterra-Fredholm integral equations, enhancing accuracy while maintaining the original method's validity.

## Key findings

- Improved discretization leads to more accurate solutions.
- Corrections do not affect the original main results.
- Enhanced numerical stability in the method.

## Abstract

Some corrections are made in our article, which was published in Appl. Anal. Optim. Vol. 3 (2019), No. 1, 103--127. These corrections are intended to transform the equation \eqref{eq:1.1} \begin{equation}\label{eq:1.1} x(t) + \int\limits_a^t {K_1(t,s,x(s)) ds} + \int\limits_a^b {K_2(t,s,x(s)) ds} = g(t),\;\,a \le t \le b \tag{1.1} \end{equation} into a discretized form in a tighter and more accurate way without affecting the main results of the article.