مهدی بابایی قلعه جوق

Main concern of this paper is investigating of the solution of delay Volterra integral equation of the second kind and introducing high order multistep collocation method for solving the delay integral equation. Existence and uniqueness of solution can be proved by fixed point theorems. Lagrange interpolation via Chebyshev-Gauss-Lobatto points are applied for evaluating the unknown integrals. The delay Volterra integral equation reduces to some linear algebraic system. For showing the accuracy and efficiency of the aforementioned method an illustrative example is provided.