Approximation Solution For Second Order Linear Fredholm Integro-Differential Equations By Implementing Half-Sweep Gauss-Seidel Method
This paper provides an overview of the formulation, analysis and implementation of the Half-Sweep Gauss-Seidel (HSGS) method for solving second order linear Fredholm Integro-differential equation (SOLFIDE) based on backward difference (BD) and repeated trapezoidal (RT) approximation schemes. In fact...
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| Format: | Conference Paper |
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Universiti Malaysia Terengganu
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/19938 |
| _version_ | 1848750170747961344 |
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| author | Aruchunan, Elayaraja Sulaiman, J. |
| author2 | Assoc.Prof.Dr. Marinah Mohd.Ariffin |
| author_facet | Assoc.Prof.Dr. Marinah Mohd.Ariffin Aruchunan, Elayaraja Sulaiman, J. |
| author_sort | Aruchunan, Elayaraja |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper provides an overview of the formulation, analysis and implementation of the Half-Sweep Gauss-Seidel (HSGS) method for solving second order linear Fredholm Integro-differential equation (SOLFIDE) based on backward difference (BD) and repeated trapezoidal (RT) approximation schemes. In fact, the formulation and implementation of the Full-Sweep Gauss-Seidel (FSGS) method, also known as standard Gauss-Seidel, are presented to show the significant result of proposed method. The HSGS method has been shown to converge rapidly as compared to the FSGS method. Finally some numerical tests were demonstrated to show that the HSGS method is superior to the FSGS method. |
| first_indexed | 2025-11-14T07:32:35Z |
| format | Conference Paper |
| id | curtin-20.500.11937-19938 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:32:35Z |
| publishDate | 2011 |
| publisher | Universiti Malaysia Terengganu |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-199382023-01-27T05:26:31Z Approximation Solution For Second Order Linear Fredholm Integro-Differential Equations By Implementing Half-Sweep Gauss-Seidel Method Aruchunan, Elayaraja Sulaiman, J. Assoc.Prof.Dr. Marinah Mohd.Ariffin Assoc.Prof.Dr.Suhaimi Suratman Dr.Marzuki Hj.Ismail Dr.Mohd.Ikmar Nizam Mohamad Isa Dr.Hazlina Ahamad Zakeri Dr. Zabidin Salleh Dr.Mohd Zul Helmi bin Rozaini Dr.Mazidah binti Mamat En.Sumazly Sulaiman Quadrature formulas Finite difference Half-Sweep iteration Linear fredholm equations Integro-differential equations This paper provides an overview of the formulation, analysis and implementation of the Half-Sweep Gauss-Seidel (HSGS) method for solving second order linear Fredholm Integro-differential equation (SOLFIDE) based on backward difference (BD) and repeated trapezoidal (RT) approximation schemes. In fact, the formulation and implementation of the Full-Sweep Gauss-Seidel (FSGS) method, also known as standard Gauss-Seidel, are presented to show the significant result of proposed method. The HSGS method has been shown to converge rapidly as compared to the FSGS method. Finally some numerical tests were demonstrated to show that the HSGS method is superior to the FSGS method. 2011 Conference Paper http://hdl.handle.net/20.500.11937/19938 Universiti Malaysia Terengganu restricted |
| spellingShingle | Quadrature formulas Finite difference Half-Sweep iteration Linear fredholm equations Integro-differential equations Aruchunan, Elayaraja Sulaiman, J. Approximation Solution For Second Order Linear Fredholm Integro-Differential Equations By Implementing Half-Sweep Gauss-Seidel Method |
| title | Approximation Solution For Second Order Linear Fredholm Integro-Differential Equations By Implementing Half-Sweep Gauss-Seidel Method |
| title_full | Approximation Solution For Second Order Linear Fredholm Integro-Differential Equations By Implementing Half-Sweep Gauss-Seidel Method |
| title_fullStr | Approximation Solution For Second Order Linear Fredholm Integro-Differential Equations By Implementing Half-Sweep Gauss-Seidel Method |
| title_full_unstemmed | Approximation Solution For Second Order Linear Fredholm Integro-Differential Equations By Implementing Half-Sweep Gauss-Seidel Method |
| title_short | Approximation Solution For Second Order Linear Fredholm Integro-Differential Equations By Implementing Half-Sweep Gauss-Seidel Method |
| title_sort | approximation solution for second order linear fredholm integro-differential equations by implementing half-sweep gauss-seidel method |
| topic | Quadrature formulas Finite difference Half-Sweep iteration Linear fredholm equations Integro-differential equations |
| url | http://hdl.handle.net/20.500.11937/19938 |