An efficient numerical scheme for a nonlinear integro-differential equations with an integral boundary condition

Nonlinear functional integro-differential equations with an integral boundary condition is appeared in chemical engineering, underground water flow and population dynamics phenomena and other field of physics and mathematical chemistry. So, this paper presents a powerful numerical approach based on an iterative technique and Sinc quadrature to estimate a solution for this equation. Then convergence of this technique is discussed by preparing a theorem which guarantees the applicability of that. Finally, some numerical examples are given to confirm efficiency and accuracy of the numerical scheme.