An iterative solution for second order linear Fredholm integro-differential equations
The objective of this paper is to analyze the application of the quarter-sweep iterative concept on Quadrature-Difference schemes namely central difference (CD)-composite trapezoidal (CT) with the Gauss-Seidel iterative method to solve second order linear Fredholm integro-differential equations. The...
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38940/ http://psasir.upm.edu.my/id/eprint/38940/1/38940.pdf |
| _version_ | 1848849010816712704 |
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| author | Aruchunan, Elayaraja Muthuvalu, Mohana Sundaram Sulaiman, Jumat Koh, Wei Sin Md Akhir, Kamalrulzaman |
| author_facet | Aruchunan, Elayaraja Muthuvalu, Mohana Sundaram Sulaiman, Jumat Koh, Wei Sin Md Akhir, Kamalrulzaman |
| author_sort | Aruchunan, Elayaraja |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The objective of this paper is to analyze the application of the quarter-sweep iterative concept on Quadrature-Difference schemes namely central difference (CD)-composite trapezoidal (CT) with the Gauss-Seidel iterative method to solve second order linear Fredholm integro-differential equations. The formulation and implementation of the Full-,
Half-and Quarter-Sweep Gauss-Seidel methods namely FSGS, HSGS and QSGS are presented for performance comparison. Furthermore, computational complexity and percentage reduction calculations are also presented with several numerical simulations. The numerical results show that the proposed QSGS method with the corresponding discretization schemes is superior compared to the FSGS and HSGS methods. |
| first_indexed | 2025-11-15T09:43:36Z |
| format | Article |
| id | upm-38940 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:43:36Z |
| publishDate | 2014 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-389402015-09-04T13:34:08Z http://psasir.upm.edu.my/id/eprint/38940/ An iterative solution for second order linear Fredholm integro-differential equations Aruchunan, Elayaraja Muthuvalu, Mohana Sundaram Sulaiman, Jumat Koh, Wei Sin Md Akhir, Kamalrulzaman The objective of this paper is to analyze the application of the quarter-sweep iterative concept on Quadrature-Difference schemes namely central difference (CD)-composite trapezoidal (CT) with the Gauss-Seidel iterative method to solve second order linear Fredholm integro-differential equations. The formulation and implementation of the Full-, Half-and Quarter-Sweep Gauss-Seidel methods namely FSGS, HSGS and QSGS are presented for performance comparison. Furthermore, computational complexity and percentage reduction calculations are also presented with several numerical simulations. The numerical results show that the proposed QSGS method with the corresponding discretization schemes is superior compared to the FSGS and HSGS methods. Institute for Mathematical Research, Universiti Putra Malaysia 2014-07 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38940/1/38940.pdf Aruchunan, Elayaraja and Muthuvalu, Mohana Sundaram and Sulaiman, Jumat and Koh, Wei Sin and Md Akhir, Kamalrulzaman (2014) An iterative solution for second order linear Fredholm integro-differential equations. Malaysian Journal of Mathematical Sciences, 8 (2). pp. 157-170. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol8no2/1.%20Elayaraja%20Aruchunan.pdf |
| spellingShingle | Aruchunan, Elayaraja Muthuvalu, Mohana Sundaram Sulaiman, Jumat Koh, Wei Sin Md Akhir, Kamalrulzaman An iterative solution for second order linear Fredholm integro-differential equations |
| title | An iterative solution for second order linear Fredholm integro-differential equations |
| title_full | An iterative solution for second order linear Fredholm integro-differential equations |
| title_fullStr | An iterative solution for second order linear Fredholm integro-differential equations |
| title_full_unstemmed | An iterative solution for second order linear Fredholm integro-differential equations |
| title_short | An iterative solution for second order linear Fredholm integro-differential equations |
| title_sort | iterative solution for second order linear fredholm integro-differential equations |
| url | http://psasir.upm.edu.my/id/eprint/38940/ http://psasir.upm.edu.my/id/eprint/38940/ http://psasir.upm.edu.my/id/eprint/38940/1/38940.pdf |