Optimal quadrature rules for numerical solution of the nonlinear Fredholm integral equations-Reference-Cited by-同舟云学术

Optimal quadrature rules for numerical solution of the nonlinear Fredholm integral equations

Published:2022 Issue:11 Volume:36 Page:3827-3843
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Kazemi Manochehr¹,Doostdar Mohammad²

Affiliation:

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

2. Department of Mathematics, Zarandieh Branch, Islamic Azad University, Zarandieh, Iran

Abstract

In this paper, an iterative method of successive approximations to the approximate solution of nonlinear Hammerstein-Fredholm integral equations using an optimal quadrature formula for classes of functions of Lipschitz types is provided. Also, the convergence analysis and numerical stability of the proposed method are proved. Finally, some numerical examples verify the theoretical results and show the accuracy of the method.

Publisher

National Library of Serbia

Subject

General Mathematics

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