Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations
The main core of this paper is to analyze the application of the quarter-sweep iterative concept on finite difference and composite trapezoidal schemes with Gauss-Seidel iterative method to solve first order linear Fredholm integro-differential equations. The formulation and implementation of the Fu...
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| Format: | Conference Paper |
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American Institute of Physics
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/15817 |
| _version_ | 1848748996515856384 |
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| author | Aruchunan, Elayaraja Muthuvalu, M. Sulaiman, J. |
| author2 | Anuar Ishak |
| author_facet | Anuar Ishak Aruchunan, Elayaraja Muthuvalu, M. Sulaiman, J. |
| author_sort | Aruchunan, Elayaraja |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The main core of this paper is to analyze the application of the quarter-sweep iterative concept on finite difference and composite trapezoidal schemes with Gauss-Seidel iterative method to solve first 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 respectively are also presented for performance comparison. Furthermore, computational complexity and percentage reduction analysis are also included and integrated with several numerical simulations. Based on numerical results, findings show the proposed QSGS method with the corresponding discretization schemes is superior compared to FSGS and HSGS iterative methods. |
| first_indexed | 2025-11-14T07:13:55Z |
| format | Conference Paper |
| id | curtin-20.500.11937-15817 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:13:55Z |
| publishDate | 2013 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-158172023-02-07T08:01:25Z Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations Aruchunan, Elayaraja Muthuvalu, M. Sulaiman, J. Anuar Ishak Ishak Hashim Eddie Shahril Ismail Roslinda Nazar Trapezoidal scheme First order integro-differential equations Second order central difference scheme Gauss-Seidel method The main core of this paper is to analyze the application of the quarter-sweep iterative concept on finite difference and composite trapezoidal schemes with Gauss-Seidel iterative method to solve first 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 respectively are also presented for performance comparison. Furthermore, computational complexity and percentage reduction analysis are also included and integrated with several numerical simulations. Based on numerical results, findings show the proposed QSGS method with the corresponding discretization schemes is superior compared to FSGS and HSGS iterative methods. 2013 Conference Paper http://hdl.handle.net/20.500.11937/15817 10.1063/1.4801120 American Institute of Physics restricted |
| spellingShingle | Trapezoidal scheme First order integro-differential equations Second order central difference scheme Gauss-Seidel method Aruchunan, Elayaraja Muthuvalu, M. Sulaiman, J. Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations |
| title | Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations |
| title_full | Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations |
| title_fullStr | Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations |
| title_full_unstemmed | Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations |
| title_short | Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations |
| title_sort | application of quarter-sweep iteration for first order linear fredholm integro-differential equations |
| topic | Trapezoidal scheme First order integro-differential equations Second order central difference scheme Gauss-Seidel method |
| url | http://hdl.handle.net/20.500.11937/15817 |