Selsabil, LarabaSupervisor: Noui, Djaidja2025-07-072025-07-072025-06-15https://repository.univ-msila.dz/handle/123456789/46672This thesis aims to find a numerical solution for second-order linear Fredholm integro-differential equations using Vieta-Lucas polynomials with various numerical examples to ensure the accuracy and efficiency of the proposed computational method.eniLnear Fredholm integro-differential equationsVieta-Lucas polynomialsThesis