NADIR, MostefaLAKEHALI, Belkacem2018-04-082018-04-082017-12-12http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/3809In this work, we seek the approximate solution of integral equations by truncation Legendre series approximation using a variational form for the equation. this one is reduced to a linear system where the solution of this latter gives the Legendre coefficients and thereafter the solution of the equation.The convergence and the error analysis of this method are discussed. Finally, we compare our numerical results by others.enlinear integral equations, Legendre polynomials, collocation methods, Sloan approximation.Article