Half-Sweep Arithmetic Mean method with composite trapezoidal scheme for solving linear Fredholm integral equations.
The main aim of this paper is to examine the effectiveness one of the two-stage iterative method known as Half-Sweep Arithmetic Mean (HSAM) method in solving the dense linear systems generated from the discretization of the first and second kinds of linear Fredholm integral equations. In addition, t...
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| Format: | Article |
| Language: | English |
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Elsevier
2011
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| Online Access: | https://eprints.ums.edu.my/id/eprint/21743/1/Half-Sweep%20Arithmetic%20Mean%20method%20with%20composite%20trapezoidal%20scheme%20for%20solving%20linear%20Fredholm%20integral%20equations.pdf |
| _version_ | 1825713598188486656 |
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| author | Mohana SundaramMuthuvalu Jumat Sulaiman |
| author_facet | Mohana SundaramMuthuvalu Jumat Sulaiman |
| author_sort | Mohana SundaramMuthuvalu |
| collection | UMS |
| description | The main aim of this paper is to examine the effectiveness one of the two-stage iterative method known as Half-Sweep Arithmetic Mean (HSAM) method in solving the dense linear systems generated from the discretization of the first and second kinds of linear Fredholm integral equations. In addition, the formulation and implementation of the HSAM iterative 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-21743 |
| institution | Universiti Malaysia Sabah |
| language | English |
| last_indexed | 2024-03-06T02:59:03Z |
| publishDate | 2011 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | ums.eprints-217432019-04-07T23:45:34Z https://eprints.ums.edu.my/id/eprint/21743/ Half-Sweep Arithmetic Mean method with composite trapezoidal scheme for solving linear Fredholm integral equations. Mohana SundaramMuthuvalu Jumat Sulaiman QA Mathematics The main aim of this paper is to examine the effectiveness one of the two-stage iterative method known as Half-Sweep Arithmetic Mean (HSAM) method in solving the dense linear systems generated from the discretization of the first and second kinds of linear Fredholm integral equations. In addition, the formulation and implementation of the HSAM iterative method are also presented. Some illustrative examples are given to point out the efficiency of the proposed method. Elsevier 2011 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/21743/1/Half-Sweep%20Arithmetic%20Mean%20method%20with%20composite%20trapezoidal%20scheme%20for%20solving%20linear%20Fredholm%20integral%20equations.pdf Mohana SundaramMuthuvalu and Jumat Sulaiman (2011) Half-Sweep Arithmetic Mean method with composite trapezoidal scheme for solving linear Fredholm integral equations. Applied Mathematics and Computation, 217 (12). pp. 5442-5448. ISSN 0096-3003 https://doi.org/10.1016/j.amc.2010.12.013 |
| spellingShingle | QA Mathematics Mohana SundaramMuthuvalu Jumat Sulaiman Half-Sweep Arithmetic Mean method with composite trapezoidal scheme for solving linear Fredholm integral equations. |
| title | Half-Sweep Arithmetic Mean method with composite trapezoidal scheme for solving linear Fredholm integral equations. |
| title_full | Half-Sweep Arithmetic Mean method with composite trapezoidal scheme for solving linear Fredholm integral equations. |
| title_fullStr | Half-Sweep Arithmetic Mean method with composite trapezoidal scheme for solving linear Fredholm integral equations. |
| title_full_unstemmed | Half-Sweep Arithmetic Mean method with composite trapezoidal scheme for solving linear Fredholm integral equations. |
| title_short | Half-Sweep Arithmetic Mean method with composite trapezoidal scheme for solving linear Fredholm integral equations. |
| title_sort | half sweep arithmetic mean method with composite trapezoidal scheme for solving linear fredholm integral equations |
| topic | QA Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/21743/1/Half-Sweep%20Arithmetic%20Mean%20method%20with%20composite%20trapezoidal%20scheme%20for%20solving%20linear%20Fredholm%20integral%20equations.pdf |
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