Abstract
We present an improvement of the numerical method based on Toeplitz matrices to solve the Volterra Fredholm Integral equation of the second kind with singular kernel. The kernel function K (s, t) is moderately smooth on [a, b] x [0, T] except possibly across the diagonal s = t. We transform the Volterra integral equations to a system of Fredholm integral equations of the second kind which will be solved by Toeplitz matrices method. This lead to a system of algebraic equations. Thus, by solving the matrix equation, the approximation solution is obtained.