Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations
The purpose of this paper is to scrutinize the application of the Quarter-Sweep Gauss-Seidel (QSGS) method by using the quarter-sweep approximation equation based on backward difference (BD) and repeated trapezoidal (RT) formulas to solve first order linear Fredholm integro-differential equations. T...
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| Format: | Journal Article |
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Universiti Teknologi Malaysia
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/43268 |
| _version_ | 1848756644068982784 |
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| author | Aruchunan, Elayaraja Sulaiman, J. |
| author_facet | Aruchunan, Elayaraja Sulaiman, J. |
| author_sort | Aruchunan, Elayaraja |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The purpose of this paper is to scrutinize the application of the Quarter-Sweep Gauss-Seidel (QSGS) method by using the quarter-sweep approximation equation based on backward difference (BD) and repeated trapezoidal (RT) formulas to solve first order linear Fredholm integro-differential equations. The formulation and implementation of the Full-Sweep Gauss-Seidel (FSGS) and Half-Sweep Gauss-Seidel (HSGS) iterative methods are also presented. Then some numerical tests are illustrated to show the effectiveness of QSGS method as compared to the FSGS and HSGS methods. |
| first_indexed | 2025-11-14T09:15:28Z |
| format | Journal Article |
| id | curtin-20.500.11937-43268 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:15:28Z |
| publishDate | 2011 |
| publisher | Universiti Teknologi Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-432682017-09-13T15:07:51Z Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations Aruchunan, Elayaraja Sulaiman, J. Quadrature formulas Finite difference Quarter-Sweep iteration Linear Fredholm equations Integro-differential equations The purpose of this paper is to scrutinize the application of the Quarter-Sweep Gauss-Seidel (QSGS) method by using the quarter-sweep approximation equation based on backward difference (BD) and repeated trapezoidal (RT) formulas to solve first order linear Fredholm integro-differential equations. The formulation and implementation of the Full-Sweep Gauss-Seidel (FSGS) and Half-Sweep Gauss-Seidel (HSGS) iterative methods are also presented. Then some numerical tests are illustrated to show the effectiveness of QSGS method as compared to the FSGS and HSGS methods. 2011 Journal Article http://hdl.handle.net/20.500.11937/43268 10.1063/1.4801120 Universiti Teknologi Malaysia restricted |
| spellingShingle | Quadrature formulas Finite difference Quarter-Sweep iteration Linear Fredholm equations Integro-differential equations Aruchunan, Elayaraja Sulaiman, J. Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations |
| title | Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations |
| title_full | Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations |
| title_fullStr | Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations |
| title_full_unstemmed | Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations |
| title_short | Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations |
| title_sort | quarter-sweep gauss-seidel method for solving first order linear fredholm integro-differential equations |
| topic | Quadrature formulas Finite difference Quarter-Sweep iteration Linear Fredholm equations Integro-differential equations |
| url | http://hdl.handle.net/20.500.11937/43268 |