Sur les équations intégrales et intégro-différentielles non-linéaires de Volterra

Abstract

In this thesis, we will study in analytical and numerical sens the Volterra integral equations in the linear, nonlinear and integro-differential forms. In the theoretical sens we apply the method of Picard and in numerical senses we use the Nystro¨m method which consists to the approximation of the integral. Numerical tests are given to verify the efficiency and convergent of our method.