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The aim of the present paper is to introduce a new numerical method forsolving nonlinear Volterra integro-differential equations involving delay. Weapply trapezium rule to the integral involved in the equation. Further,Daftardar-Gejji and Jafari method (DGJ) is employed to solve the implicitequation. Existence-uniqueness theorem is derived for solutions of suchequations and the error and convergence analysis of the proposed method ispresented. We illustrate efficacy of the newly proposed method by constructingexamples.

Solving Volterra Integro-Differential Equations involving Delay: A New Higher Order Numerical Method