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

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.

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

Three-dimensional integral equations , Three-dimensional Haar wavelet , Lipschitz condition , Successive approximations

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

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

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Department of Mathematics, Farhangian University, Tehran, Iran. Member of Young Researchers and Elite club Shahr-e-Qods, Branch Islamic Azad University, Tehran, Iran

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

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Link to this Paper:

https://civilica.com/doc/1561090

Document National Code:

JR_IJNAA-12-2_010

Index date: 2 December 2022

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Ranking of Islamic Azad University of Ashtian

Type of center: دانشگاه آزاد

Paper count: 1,141

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