A new method for solving three-dimensional nonlinear Fredholm integral equations by Haar wavelet

Document Type : Research Paper

Authors

1 Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran

2 Faculty of Basic Science, Hamedan Branch IAU, Hamedan, Iran.

3 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

10.22075/ijnaa.2020.20860.2207

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 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.

Keywords