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In this paper, we present a reliable algorithm for solving a system of Volterra integro-differential equations (VIDE) using He’s Homotopy Perturbation Method (HHPM) [9, 10] and spectral methods [12]. This method converts a system of Volterra integro-differential equations to the system of linear algebraic equations. Some illustrative examples have been presented to illustrate the implementation of the algorithm and efficiency of the method.

Numerical investigation of the weakly singular Volterra integro-differential equations using He's Homotopy perturbation method