High-order nonlinear Volterra-Fredholm-Hammerstein integro-differential equations and their effective computation

In a recent study (Turkyilmazoglu, 2014) high-order linear Fredholm integro-differential equations were solved by means of an elegant and accurate effective technique. This approach is extended here to obtain exact and analytic approximate solutions of high-order nonlinear Volterra-Fredholm-Hammerstein integro-differential equations. Difference from the earlier work is that the method involves solution of nonlinear algebraic equations in place of linear ones. High accuracy of the introduced technique is also observed for the nonlinear equations via comparisons with some of the available methods.