Document Type : Research Paper
Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran
Faculty of Basic Science, Hamedan Branch IAU, Hamedan, Iran.
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
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 veriﬁed. The error estimation and numerical stability of the proposed method are provided in terms of Lipschitz condition. Conducting numerical experiments conﬁrm the theoretical results of the proposed method and endorse the accuracy of the method.