Numerical solution of nonlinear Volterra–Fredholm integro-differential equations

The aim of this paper is to present an efficient analytical and numerical procedure for solving the high-order nonlinear Volterra–Fredholm integro-differential equations. Our method depends mainly on a Taylor expansion approach. This method transforms the integro-differential equation and the given conditions into the matrix equation. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments.