University of Guilan Journal of Mathematical Modeling 2345-394X 9 2 2021 05 01 Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet 201 213 4312 10.22124/jmm.2020.16051.1404 EN Majid Erfanian Department of Science, School of Mathematical Sciences, University of Zabol, Iran Hamed Zeidabadi Faculty of Engineering, Sabzevar University of New Technology, Sabzevar, Iran Journal Article 2020 03 19 We successively apply the rational Haar wavelet  to solve the nonlinear Volterra integro-differential equations and nonlinear Fredholm integro-differential equations. Using the Banach fixed point theorem for these equations, we prove the convergence. In this method, no numerical integration is used. Numerical results are presented to show the effectiveness of this method. Fixed point Banach theorem nonlinear Volterra Fredholm integro-differential Haar wavelet Convergence https://jmm.guilan.ac.ir/article_4312_793f71f4174613da9dc51675d4e83fb2.pdf