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Title: Generalized Jacobi method for linear bounded operators system

Abstract

In this paper, we construct a generalization of the Jacobi iterative method adapted to a system of linear bounded operators. This new method is used with product integration method to solve a linear Fredholm integral equation of the second kind with a weakly singular kernel. The convergence analysis is proved. The numerical tests developed show its effectiveness.

Authors:
; ;  [1]
  1. Université 8 Mai 1945 Guelma, Laboratoire de Mathématiques Appliquées et de Modélisation, Faculté de Mathématiques et de l’Informatique et des Sciences de la Matiére (Algeria)
Publication Date:
OSTI Identifier:
22769252
Resource Type:
Journal Article
Journal Name:
Computational and Applied Mathematics
Additional Journal Information:
Journal Volume: 37; Journal Issue: 3; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0101-8205
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; CONVERGENCE; FREDHOLM EQUATION; ITERATIVE METHODS; KERNELS

Citation Formats

Lemita, Samir, Guebbai, Hamza, and Aissaoui, M. Z., E-mail: aissaouizine@gmail.com. Generalized Jacobi method for linear bounded operators system. United States: N. p., 2018. Web. doi:10.1007/S40314-017-0557-3.
Lemita, Samir, Guebbai, Hamza, & Aissaoui, M. Z., E-mail: aissaouizine@gmail.com. Generalized Jacobi method for linear bounded operators system. United States. doi:10.1007/S40314-017-0557-3.
Lemita, Samir, Guebbai, Hamza, and Aissaoui, M. Z., E-mail: aissaouizine@gmail.com. Sun . "Generalized Jacobi method for linear bounded operators system". United States. doi:10.1007/S40314-017-0557-3.
@article{osti_22769252,
title = {Generalized Jacobi method for linear bounded operators system},
author = {Lemita, Samir and Guebbai, Hamza and Aissaoui, M. Z., E-mail: aissaouizine@gmail.com},
abstractNote = {In this paper, we construct a generalization of the Jacobi iterative method adapted to a system of linear bounded operators. This new method is used with product integration method to solve a linear Fredholm integral equation of the second kind with a weakly singular kernel. The convergence analysis is proved. The numerical tests developed show its effectiveness.},
doi = {10.1007/S40314-017-0557-3},
journal = {Computational and Applied Mathematics},
issn = {0101-8205},
number = 3,
volume = 37,
place = {United States},
year = {2018},
month = {7}
}