Title of article :
Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet
Author/Authors :
Erfanian, Majid Department of Science - School of Mathematical Sciences - University of Zabol, Iran , Zeidabadi, Hamed Faculty of Engineering - Sabzevar University of New Technology, Sabzevar, Iran
Abstract :
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.
Keywords :
Fixed point Banach theorem , nonlinear , Volterra , Fredholm , ntegro-differential , Haar wavelet , convergence
Journal title :
Journal of Mathematical Modeling(JMM)
