Application of the Central-Difference with Half-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-Differential Equations
The objective of this paper is to analyse the application of the Half-Sweep Gauss-Seidel (HSGS) method by using the Half-sweep approximation equation based on central difference (CD) and repeated trapezoidal (RT) formulas to solve linear fredholm integro-differential equations of first order. The fo...
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| Format: | Journal Article |
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World Academy of Science, Engineering and Technology
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/28176 |
| _version_ | 1848752465834409984 |
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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 objective of this paper is to analyse the application of the Half-Sweep Gauss-Seidel (HSGS) method by using the Half-sweep approximation equation based on central difference (CD) and repeated trapezoidal (RT) formulas to solve linear fredholm integro-differential equations of first order. The formulation and implementation of the Full-Sweep Gauss-Seidel (FSGS) and Half- Sweep Gauss-Seidel (HSGS) methods are also presented. The HSGS method has been shown to rapid compared to the FSGS methods. Some numerical tests were illustrated to show that the HSGS method is superior to the FSGS method. |
| first_indexed | 2025-11-14T08:09:03Z |
| format | Journal Article |
| id | curtin-20.500.11937-28176 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:09:03Z |
| publishDate | 2012 |
| publisher | World Academy of Science, Engineering and Technology |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-281762017-01-30T13:03:33Z Application of the Central-Difference with Half-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-Differential Equations Aruchunan, Elayaraja Sulaiman, J. Quadrature formulas Finite difference Half-Sweep iteration Linear fredholm equations Integro-differential equations The objective of this paper is to analyse the application of the Half-Sweep Gauss-Seidel (HSGS) method by using the Half-sweep approximation equation based on central difference (CD) and repeated trapezoidal (RT) formulas to solve linear fredholm integro-differential equations of first order. The formulation and implementation of the Full-Sweep Gauss-Seidel (FSGS) and Half- Sweep Gauss-Seidel (HSGS) methods are also presented. The HSGS method has been shown to rapid compared to the FSGS methods. Some numerical tests were illustrated to show that the HSGS method is superior to the FSGS method. 2012 Journal Article http://hdl.handle.net/20.500.11937/28176 World Academy of Science, Engineering and Technology fulltext |
| spellingShingle | Quadrature formulas Finite difference Half-Sweep iteration Linear fredholm equations Integro-differential equations Aruchunan, Elayaraja Sulaiman, J. Application of the Central-Difference with Half-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-Differential Equations |
| title | Application of the Central-Difference with Half-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-Differential Equations |
| title_full | Application of the Central-Difference with Half-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-Differential Equations |
| title_fullStr | Application of the Central-Difference with Half-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-Differential Equations |
| title_full_unstemmed | Application of the Central-Difference with Half-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-Differential Equations |
| title_short | Application of the Central-Difference with Half-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-Differential Equations |
| title_sort | application of the central-difference with half-sweep gauss-seidel method for solving first order linear fredholm integro-differential equations |
| topic | Quadrature formulas Finite difference Half-Sweep iteration Linear fredholm equations Integro-differential equations |
| url | http://hdl.handle.net/20.500.11937/28176 |