On Nonlinear Urysohn Integral Equation Via Measures of Noncompactness and Numerical Method to Solve It
Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:
JR_GADM-6-2_011
Index date: 22 October 2022
On Nonlinear Urysohn Integral Equation Via Measures of Noncompactness and Numerical Method to Solve It abstract
In this study, we present the existence of solutions for Urysohn integral equations. By using the techniques of noncompactness measures, we employ the basic fixed point theorems such as Petryshyn's fixed point theorem to obtain the mentioned aim in Banach algebra. Then this paper presents a numerical approach based on Haar wavelets to solve the equation. This numerical method does not lead to a nonlinear algebraic equations system. Conducting numerical experiments confirm the theoretical results of the applied method and endorse the accuracy of the method.
On Nonlinear Urysohn Integral Equation Via Measures of Noncompactness and Numerical Method to Solve It Keywords:
On Nonlinear Urysohn Integral Equation Via Measures of Noncompactness and Numerical Method to Solve It authors
Manochehr Kazemi
Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran
Vali Torkashvand
۲Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
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