%0 Journal Article
%T Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet
%J Journal of Mathematical Modeling
%I University of Guilan
%Z 2345-394X
%A Erfanian, Majid
%A Zeidabadi, Hamed
%D 2021
%\ 05/01/2021
%V 9
%N 2
%P 201-213
%! Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet
%K Fixed point Banach theorem
%K nonlinear
%K Volterra
%K Fredholm
%K integro-differential
%K Haar wavelet
%K Convergence
%R 10.22124/jmm.2020.16051.1404
%X We successively apply the rational Haar waveletÂ 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.
%U https://jmm.guilan.ac.ir/article_4312_793f71f4174613da9dc51675d4e83fb2.pdf