MAROUA, AchourSupervisor: Amina, KHIRANI2025-07-022025-07-022025-06-15https://repository.univ-msila.dz/handle/123456789/46614This thesis focuses on the study and numerical solution of second-kind Volterra integral equations using the Galerkin-Hermite method. This method is based on approximating the solution by orthogonal Hermite polynomials, transforming the original equation into a linear algebraic system. The theoretical background of the method is presented, followed by its application to several numerical examples to compare the approximate results with exact solutions. The obtained results demonstrate the efficiency and accuracy of this method in solving such integral equations.enVolterra integral equationsGalerkin-Hermite methodHermite polynomialsnumerical approximationThesis