Application of the 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 backward difference (BD) and repeated trapezoidal (RT) formulas to solve linear fredholm integro-differential equations of first order. The f...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Conference Paper |
| Published: |
Curtin Sarawak, Malaysia
2011
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/8274 |
| _version_ | 1848745609196994560 |
|---|---|
| author | Aruchunan, Elayaraja Sulaiman, J. |
| author2 | Dr.Ujjal Kumar Ghosh |
| author_facet | Dr.Ujjal Kumar Ghosh 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 backward difference (BD) 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 very fast as compared to the FSGS methods. Some numerical tests were illustrated to show that the HSGS method is superior to the FSGS method. |
| first_indexed | 2025-11-14T06:20:04Z |
| format | Conference Paper |
| id | curtin-20.500.11937-8274 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:20:04Z |
| publishDate | 2011 |
| publisher | Curtin Sarawak, Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-82742023-01-18T08:46:47Z Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations Aruchunan, Elayaraja Sulaiman, J. Dr.Ujjal Kumar Ghosh Dr. Ramasamy Dr. M.V. Prasanna Dr. Amar Sahed 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 backward difference (BD) 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 very fast as compared to the FSGS methods. Some numerical tests were illustrated to show that the HSGS method is superior to the FSGS method. 2011 Conference Paper http://hdl.handle.net/20.500.11937/8274 Curtin Sarawak, Malaysia restricted |
| spellingShingle | Linear fredholm equations Integro-differential equations Aruchunan, Elayaraja Sulaiman, J. Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations |
| title | Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations |
| title_full | Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations |
| title_fullStr | Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations |
| title_full_unstemmed | Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations |
| title_short | Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations |
| title_sort | application of the half-sweep gauss-seidel method for solving first order linear fredholm integro-differential equations |
| topic | Linear fredholm equations Integro-differential equations |
| url | http://hdl.handle.net/20.500.11937/8274 |