Numerical solution of system of nonlinear second-order integro-differential equations

In this article, numerical solution of a system of nonlinear second-order integro-differential equations with boundary conditions of the Fredholm and Volterra types by means of the Sinc-collocation method is considered. The method is effective for approximation in the case of the presence of end-point singularities. Properties of the Sinc-collocation method required for our subsequent development are given and utilized to reduce the computation of boundary value problems to some algebraic equations. The method is applied to a few test examples to illustrate the accuracy and the implementation of the method.