Half-Sweep Arithmetic Mean method with high-order Newton-Cotes quadrature schemes to solve linear second kind Fredholm Equations.

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 t...

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Main Authors: Mohana Sundaram Muthuvalu, Jumat Sulaiman
Format: Article
Language:English
Published: 2009
Subjects:
QA Mathematics
Online Access:https://eprints.ums.edu.my/id/eprint/21744/1/Half-Sweep%20Arithmetic%20Mean%20method%20with%20composite%20trapezoidal%20scheme%20for%20solving%20linear%20Fredholm%20integral%20equations.pdf
https://eprints.ums.edu.my/id/eprint/21744/
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Institution: Universiti Malaysia Sabah
Language: English
id my.ums.eprints.21744
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spelling my.ums.eprints.217442019-04-07T23:45:19Z https://eprints.ums.edu.my/id/eprint/21744/ Half-Sweep Arithmetic Mean method with high-order Newton-Cotes quadrature schemes to solve linear second kind Fredholm Equations. Mohana Sundaram Muthuvalu Jumat Sulaiman QA Mathematics 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 2009 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/21744/1/Half-Sweep%20Arithmetic%20Mean%20method%20with%20composite%20trapezoidal%20scheme%20for%20solving%20linear%20Fredholm%20integral%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. Journal of Fundamental Sciences, 5. pp. 7-16. ISSN 1823-626x
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 QA Mathematics
spellingShingle QA Mathematics
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.
publishDate 2009
url https://eprints.ums.edu.my/id/eprint/21744/1/Half-Sweep%20Arithmetic%20Mean%20method%20with%20composite%20trapezoidal%20scheme%20for%20solving%20linear%20Fredholm%20integral%20equations.pdf
https://eprints.ums.edu.my/id/eprint/21744/
_version_ 1760229882104643584

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