Analytical Approaches for Computing Exact Solutions to System of Volterra Integro-Differential Equations

This paper presents a modified technique that utilizes the homotopy-perturbation method (HPM) to solve a system of integro-differential equation of Volterra kind. By providing practical examples and conducting numerical simulations, we showcase the effectiveness and efficiency of this modification in solving these systems encountered in various scientific fields. Furthermore, we compare the performance of the HPM with the exact solution, emphasizing its advantages in terms of accuracy, convergence, and computational efficiency.