A New Iterative Method of Successive Approximation to Solve Nonlinear Urysohn Integral Equations by Haar Wavelet

In this paper, a new method for calculating the numerical approximation of the nonlinear Urysohn integral equations is proposed based on Haar wavelets. Also, the convergence analysis and numerical stability of these method are discussed. Conducting numerical experiments conﬁrm the theoretical results of the applied method and endorse the accuracy of the method.

A New Iterative Method of Successive Approximation to Solve Nonlinear Urysohn Integral Equations by Haar Wavelet Keywords:

Integral equations , Haar wavelet , Lipschitz condition , Successive approximations

A New Iterative Method of Successive Approximation to Solve Nonlinear Urysohn Integral Equations by Haar Wavelet authors

Manochehr Kazemi

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

Vali Torkashvand

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

Einollah Fathizade

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

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Link to this Paper:

https://civilica.com/doc/1589947

Document National Code:

JR_IJMAC-10-4_002

Index date: 17 January 2023

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Kazemi, Manochehr and Torkashvand, Vali and Fathizade, Einollah,1399,A New Iterative Method of Successive Approximation to Solve Nonlinear Urysohn Integral Equations by Haar Wavelet,https://civilica.com/doc/1589947

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Scientometrics

The specifications of the publisher center of this Paper are as follows:

Ranking of Islamic Azad University of Ashtian

Type of center: دانشگاه آزاد

Paper count: 1,141

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