Title of article :
A new method for solving three-dimensional nonlinear Fredholm integral equations by Haar wavelet
Author/Authors :
Kazemi, Manochehr Department of Mathematics - Islamic Azad University, Ashtian , Torkashvand, Vali Department of Mathematics - Farhangian University, Tehran , Ezzati, Reza Department of Mathematics - Islamic Azad University, Karaj
Abstract :
In this paper, a new iterative method of successive approximations based on Haar wavelets is proposed
for solving three-dimensional nonlinear Fredholm integral equations. The convergence of the method
is veried. The error estimation and numerical stability of the proposed method are provided in
terms of Lipschitz condition. Conducting numerical experiments conrm the theoretical results of
the proposed method and endorse the accuracy of the method.
Keywords :
Three-dimensional integral equations , Three-dimensional Haar wavelet , Lipschitz condition , Successive approximations
Journal title :
International Journal of Nonlinear Analysis and Applications
