Half-Sweep Arithmetic Mean Method with High-Order Newton-Cotes Quadrature Schemes to Solve Linear Second Kind Fredholm Equations

The main purpose of this paper is to examine the effectiveness of the Half-Sweep Arithmetic Mean (HSAM) method in solving the dense linear systems generated from the discretization of the linear Fredholm integral equations of the second kind. In addition, the applications of the various orders of cl...

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Main Authors: Mohana Sundaram Muthuvalu, Jumat Sulaiman
Format: Article
Language:English
Published: Penerbit UTM Press 2009
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Online Access:https://eprints.ums.edu.my/id/eprint/22222/1/Half-Sweep%20Arithmetic%20Mean%20Method%20with%20High-Order%20Newton-Cotes%20Quadrature%20Schemes%20to%20Solve%20Linear%20Second%20Kind%20Fredholm%20Equations.pdf
https://eprints.ums.edu.my/id/eprint/22222/
https://doi.org/10.11113/mjfas.v5n1.282
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Institution: Universiti Malaysia Sabah
Language: English
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spelling my.ums.eprints.222222019-06-12T23:44:17Z https://eprints.ums.edu.my/id/eprint/22222/ Half-Sweep Arithmetic Mean Method with High-Order Newton-Cotes Quadrature Schemes to Solve Linear Second Kind Fredholm Equations Mohana Sundaram Muthuvalu Jumat Sulaiman Q Science (General) The main purpose of this paper is to examine the effectiveness of the Half-Sweep Arithmetic Mean (HSAM) method in solving the dense linear systems generated from the discretization of the linear Fredholm integral equations of the second kind. In addition, the applications of the various orders of closed Newton-Cotes quadrature discretization schemes will be investigate in order to form linear systems. Furthermore, the basic formulation and implementation for the proposed method are also presented. Some illustrative examples are given to point out the efficiency of the proposed method. Penerbit UTM Press 2009 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/22222/1/Half-Sweep%20Arithmetic%20Mean%20Method%20with%20High-Order%20Newton-Cotes%20Quadrature%20Schemes%20to%20Solve%20Linear%20Second%20Kind%20Fredholm%20Equations.pdf Mohana Sundaram Muthuvalu and Jumat Sulaiman (2009) Half-Sweep Arithmetic Mean Method with High-Order Newton-Cotes Quadrature Schemes to Solve Linear Second Kind Fredholm Equations. Malaysian Journal of Fundamental & Applied Sciences, 5. pp. 7-16. ISSN 2289-5981 https://doi.org/10.11113/mjfas.v5n1.282
institution Universiti Malaysia Sabah
building UMS Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sabah
content_source UMS Institutional Repository
url_provider http://eprints.ums.edu.my/
language English
topic Q Science (General)
spellingShingle Q Science (General)
Mohana Sundaram Muthuvalu
Jumat Sulaiman
Half-Sweep Arithmetic Mean Method with High-Order Newton-Cotes Quadrature Schemes to Solve Linear Second Kind Fredholm Equations
description The main purpose of this paper is to examine the effectiveness of the Half-Sweep Arithmetic Mean (HSAM) method in solving the dense linear systems generated from the discretization of the linear Fredholm integral equations of the second kind. In addition, the applications of the various orders of closed Newton-Cotes quadrature discretization schemes will be investigate in order to form linear systems. Furthermore, the basic formulation and implementation for the proposed method are also presented. Some illustrative examples are given to point out the efficiency of the proposed method.
format Article
author Mohana Sundaram Muthuvalu
Jumat Sulaiman
author_facet Mohana Sundaram Muthuvalu
Jumat Sulaiman
author_sort Mohana Sundaram Muthuvalu
title Half-Sweep Arithmetic Mean Method with High-Order Newton-Cotes Quadrature Schemes to Solve Linear Second Kind Fredholm Equations
title_short Half-Sweep Arithmetic Mean Method with High-Order Newton-Cotes Quadrature Schemes to Solve Linear Second Kind Fredholm Equations
title_full Half-Sweep Arithmetic Mean Method with High-Order Newton-Cotes Quadrature Schemes to Solve Linear Second Kind Fredholm Equations
title_fullStr Half-Sweep Arithmetic Mean Method with High-Order Newton-Cotes Quadrature Schemes to Solve Linear Second Kind Fredholm Equations
title_full_unstemmed Half-Sweep Arithmetic Mean Method with High-Order Newton-Cotes Quadrature Schemes to Solve Linear Second Kind Fredholm Equations
title_sort half-sweep arithmetic mean method with high-order newton-cotes quadrature schemes to solve linear second kind fredholm equations
publisher Penerbit UTM Press
publishDate 2009
url https://eprints.ums.edu.my/id/eprint/22222/1/Half-Sweep%20Arithmetic%20Mean%20Method%20with%20High-Order%20Newton-Cotes%20Quadrature%20Schemes%20to%20Solve%20Linear%20Second%20Kind%20Fredholm%20Equations.pdf
https://eprints.ums.edu.my/id/eprint/22222/
https://doi.org/10.11113/mjfas.v5n1.282
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