Complexity Reduction Approach for Solving Second Kind of Fredholm Integral Equations
Initially, the concept of the complexity reduction approach was applied to solve symmetry algebraic systems that were generated from the discretization of the partial differential equations. Consequently, in this paper, the effectiveness of a complexity reduction approach based on half- and quarter-...
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| Format: | Article |
| Language: | English English |
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Multidisciplinary Digital Publishing Institute (MDPI)
2022
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| Online Access: | https://eprints.ums.edu.my/id/eprint/34209/1/FULL%20TEXT.pdf https://eprints.ums.edu.my/id/eprint/34209/3/ABSTRACT.pdf |
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| author | Mohana Sundaram Muthuvalu Elayaraja Aruchunan Majid Khan Majahar Ali Chew, Jackel Vui Lung Andang Sunarto Ramoshweu Lebelo Jumat Sulaiman |
| author_facet | Mohana Sundaram Muthuvalu Elayaraja Aruchunan Majid Khan Majahar Ali Chew, Jackel Vui Lung Andang Sunarto Ramoshweu Lebelo Jumat Sulaiman |
| author_sort | Mohana Sundaram Muthuvalu |
| collection | UMS |
| description | Initially, the concept of the complexity reduction approach was applied to solve symmetry algebraic systems that were generated from the discretization of the partial differential equations. Consequently, in this paper, the effectiveness of a complexity reduction approach based on half- and quarter-sweep iteration concepts for solving linear Fredholm integral equations of the second kind is investigated. Half- and quarter-sweep iterative methods are applied to solve dense linear systems generated from the discretization of the second kind of linear Fredholm integral equations using a repeated modified trapezoidal (RMT) scheme. The formulation and implementation of the proposed methods are presented. In addition, computational complexity analysis and numerical results of test examples are also included to verify the performance of the proposed methods. |
| first_indexed | 2024-03-06T03:20:21Z |
| format | Article |
| id | ums.eprints-34209 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:20:21Z |
| publishDate | 2022 |
| publisher | Multidisciplinary Digital Publishing Institute (MDPI) |
| record_format | dspace |
| spelling | ums.eprints-342092022-09-26T03:29:24Z https://eprints.ums.edu.my/id/eprint/34209/ Complexity Reduction Approach for Solving Second Kind of Fredholm Integral Equations Mohana Sundaram Muthuvalu Elayaraja Aruchunan Majid Khan Majahar Ali Chew, Jackel Vui Lung Andang Sunarto Ramoshweu Lebelo Jumat Sulaiman QA150-272.5 Algebra Initially, the concept of the complexity reduction approach was applied to solve symmetry algebraic systems that were generated from the discretization of the partial differential equations. Consequently, in this paper, the effectiveness of a complexity reduction approach based on half- and quarter-sweep iteration concepts for solving linear Fredholm integral equations of the second kind is investigated. Half- and quarter-sweep iterative methods are applied to solve dense linear systems generated from the discretization of the second kind of linear Fredholm integral equations using a repeated modified trapezoidal (RMT) scheme. The formulation and implementation of the proposed methods are presented. In addition, computational complexity analysis and numerical results of test examples are also included to verify the performance of the proposed methods. Multidisciplinary Digital Publishing Institute (MDPI) 2022 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/34209/1/FULL%20TEXT.pdf text en https://eprints.ums.edu.my/id/eprint/34209/3/ABSTRACT.pdf Mohana Sundaram Muthuvalu and Elayaraja Aruchunan and Majid Khan Majahar Ali and Chew, Jackel Vui Lung and Andang Sunarto and Ramoshweu Lebelo and Jumat Sulaiman (2022) Complexity Reduction Approach for Solving Second Kind of Fredholm Integral Equations. Symmetry, 14 (1017). pp. 1-14. ISSN 2073-8994 https://www.mdpi.com/2073-8994/14/5/1017/htm https://doi.org/10.3390/sym14051017 https://doi.org/10.3390/sym14051017 |
| spellingShingle | QA150-272.5 Algebra Mohana Sundaram Muthuvalu Elayaraja Aruchunan Majid Khan Majahar Ali Chew, Jackel Vui Lung Andang Sunarto Ramoshweu Lebelo Jumat Sulaiman Complexity Reduction Approach for Solving Second Kind of Fredholm Integral Equations |
| title | Complexity Reduction Approach for Solving Second Kind of Fredholm Integral Equations |
| title_full | Complexity Reduction Approach for Solving Second Kind of Fredholm Integral Equations |
| title_fullStr | Complexity Reduction Approach for Solving Second Kind of Fredholm Integral Equations |
| title_full_unstemmed | Complexity Reduction Approach for Solving Second Kind of Fredholm Integral Equations |
| title_short | Complexity Reduction Approach for Solving Second Kind of Fredholm Integral Equations |
| title_sort | complexity reduction approach for solving second kind of fredholm integral equations |
| topic | QA150-272.5 Algebra |
| url | https://eprints.ums.edu.my/id/eprint/34209/1/FULL%20TEXT.pdf https://eprints.ums.edu.my/id/eprint/34209/3/ABSTRACT.pdf |
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