2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185952We discuss a numerical algorithm for solving nonlinear integro-differential equations, and illustrate our findings for the particular case of Volterra type equations. The algorithm combines a perturbation approach meant to render a linearized version of the problem and a spectral method where unknown functions are expanded in terms of Chebyshev polynomials (El-gendi's method). This approach is shown to be suitable for the calculation of two-point Green functions required in next to leading order studies of time-dependent quantum field theory.15 pages, 9 figuresComputational PhysicsHigh Energy Physics - Phenomenologytext