eng Science and Education Publishing Applied Mathematics and Physics 2014-01-20 2 1 15 18 10.12691/amp-2-1-5 AMP2014215 article S.A. Edalatpanah saedalat@yahoo.com 1 E. Abdolmaleki 1 Department of Mathematics, Tonekabon Branch, Islamic Azad University, Tonekabon, Iran In this paper we present a new method for solving nonlinear Fredholm integral equations system in terms of continuous Legendre multi-wavelets on the interval [0, 1). To begin with we describe the characteristic of Legendre multi-wavelets and will go on to indicate that through this method a system of Fredholm integral equations can be reduced to an algebraic equation. Convergence analysis of this method is also presented. Finally, numerical results are given which support the theoretical results. http://pubs.sciepub.com/amp/2/1/5/amp-2-1-5.pdf nonlinear Fredholm integral equationsystem of integral equationsLegendre multi-waveletscollocation methodMultiresolution of analysis (MRA)algebraic equations