BAKOUR, SafaSupervisor: KHIRANI, Amina2022-07-252022-07-252022-06-10http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/30966In this thesis we study the integral equations, whose the general form is u (x) = f (x) + R (x) (x) k (x; t) u (t) dt where (x) and (x) the limits of integration and u(x) unknown function; K(x; t)the kernel and f(x) function in equation, and is a constant parameter. particularly, we study the Fredholm Integral equation, we 1. Outline these equation using basic deÖnitions. 2. Discuss the existence and uniqueness of solutions. 3. Approximate the solution of Fredholm integral equation, using spline colloction method compared to colloction basis on Lagrange method.enIntegral equations, Spline CollocationThesis