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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| Format: | Article |
| Language: | English |
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2009
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| 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 |
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| author | Mohana Sundaram Muthuvalu Jumat Sulaiman |
| author_facet | Mohana Sundaram Muthuvalu Jumat Sulaiman |
| author_sort | Mohana Sundaram Muthuvalu |
| collection | UMS |
| 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 |
| first_indexed | 2024-03-06T02:59:03Z |
| format | Article |
| id | ums.eprints-21744 |
| institution | Universiti Malaysia Sabah |
| language | English |
| last_indexed | 2024-03-06T02:59:03Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | 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 |
| 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. |
| title | 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_short | 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 |
| topic | QA Mathematics |
| 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 |
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