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...
| Main Authors: | , , , , |
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| Format: | Journal Article |
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Universiti Putra Malaysia, Institute for Mathematical Research
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/33509 |
| _version_ | 1848753966133805056 |
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| author | Aruchunan, Elayaraja Muthuvalu, M. Sulaiman, J. Koh, W. Akhir, K. |
| author_facet | Aruchunan, Elayaraja Muthuvalu, M. Sulaiman, J. Koh, W. Akhir, K. |
| author_sort | Aruchunan, Elayaraja |
| building | Curtin 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 | 2025-11-14T08:32:54Z |
| format | Journal Article |
| id | curtin-20.500.11937-33509 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:32:54Z |
| publishDate | 2014 |
| publisher | Universiti Putra Malaysia, Institute for Mathematical Research |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-335092017-01-30T13:37:31Z An Iterative Solution for Second Order Linear Fredholm Integro-Differential Equations Aruchunan, Elayaraja Muthuvalu, M. Sulaiman, J. Koh, W. Akhir, K. Linear fredholm Second order integro-differential equations Gauss-seidel method Trapezoidal scheme Quarter-sweep iterations Second order central difference scheme 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. 2014 Journal Article http://hdl.handle.net/20.500.11937/33509 Universiti Putra Malaysia, Institute for Mathematical Research restricted |
| spellingShingle | Linear fredholm Second order integro-differential equations Gauss-seidel method Trapezoidal scheme Quarter-sweep iterations Second order central difference scheme Aruchunan, Elayaraja Muthuvalu, M. Sulaiman, J. Koh, W. Akhir, K. 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 |
| topic | Linear fredholm Second order integro-differential equations Gauss-seidel method Trapezoidal scheme Quarter-sweep iterations Second order central difference scheme |
| url | http://hdl.handle.net/20.500.11937/33509 |