Sinc-collocation Algorithm for Solving Nonlinear Fredholm Integro-differential Equations

This paper is concerned with the numerical solution using sinc-collocation method of nonlinear Fredholm integro-differential equations. The algorithm is based on replacing the exact solution by a linear combination of sinc functions. The resulting nonlinear equations are treated using Newton method. Numerical examples illustrate the pertinent features of the method and its applicability to a large variety. The examples include convolution type, singular as well as singularly-perturbed problems.