TY - JOUR ID - 4312 TI - Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet JO - Journal of Mathematical Modeling JA - JMM LA - en SN - 2345-394X AU - Erfanian, Majid AU - Zeidabadi, Hamed AD - Department of Science, School of Mathematical Sciences, University of Zabol, Iran AD - Faculty of Engineering, Sabzevar University of New Technology, Sabzevar, Iran Y1 - 2021 PY - 2021 VL - 9 IS - 2 SP - 201 EP - 213 KW - Fixed point Banach theorem KW - nonlinear KW - Volterra KW - Fredholm KW - integro-differential KW - Haar wavelet KW - Convergence DO - 10.22124/jmm.2020.16051.1404 N2 - 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. UR - https://jmm.guilan.ac.ir/article_4312.html L1 - https://jmm.guilan.ac.ir/article_4312_793f71f4174613da9dc51675d4e83fb2.pdf ER -