Nadir, MostefaGagui, Bachir2018-04-032018-04-032018http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/3801The goal of this paper is to present a direct method for an approximative solution of a weakly singular integral equations (WSIE) with logarithmic kernel on a piecewise smooth integration path using a modified quadratic spline approximation, we also show that this approximation gives an efficient approach to the analytical solution of WSIE.enweakly singular integral; quadratic interpolation; holder space and holder condition.Article