Half-sweep Conjugate Gradient Method for Solving First Order Linear Fredholm Integro-differential Equations
The main purpose of this paper is to examine the effectiveness of Half-Sweep Conjugate Gradient (HSCG) method. The trapezoidal and central difference scheme will be used to discretize linear Fredholm integro-differential equations of the first order to formulate system linear equation.The basic form...
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| Format: | Journal Article |
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insipub
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/6753 |
| _version_ | 1848745168026468352 |
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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 main purpose of this paper is to examine the effectiveness of Half-Sweep Conjugate Gradient (HSCG) method. The trapezoidal and central difference scheme will be used to discretize linear Fredholm integro-differential equations of the first order to formulate system linear equation.The basic formulation and implementation of the proposed method is also presented. Some numerical tests were carried out to show the effectiveness of the proposed method compared to the Full Sweep Conjugate Gradient (FSGS) iterative method. |
| first_indexed | 2025-11-14T06:13:04Z |
| format | Journal Article |
| id | curtin-20.500.11937-6753 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:13:04Z |
| publishDate | 2011 |
| publisher | insipub |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-67532017-03-08T13:18:42Z Half-sweep Conjugate Gradient Method for Solving First Order Linear Fredholm Integro-differential Equations Aruchunan, Elayaraja Sulaiman, J. trapezoidal central difference and Half-Sweep conjugate gradient Integro-differential equations The main purpose of this paper is to examine the effectiveness of Half-Sweep Conjugate Gradient (HSCG) method. The trapezoidal and central difference scheme will be used to discretize linear Fredholm integro-differential equations of the first order to formulate system linear equation.The basic formulation and implementation of the proposed method is also presented. Some numerical tests were carried out to show the effectiveness of the proposed method compared to the Full Sweep Conjugate Gradient (FSGS) iterative method. 2011 Journal Article http://hdl.handle.net/20.500.11937/6753 insipub restricted |
| spellingShingle | trapezoidal central difference and Half-Sweep conjugate gradient Integro-differential equations Aruchunan, Elayaraja Sulaiman, J. Half-sweep Conjugate Gradient Method for Solving First Order Linear Fredholm Integro-differential Equations |
| title | Half-sweep Conjugate Gradient Method for Solving First Order Linear Fredholm Integro-differential Equations |
| title_full | Half-sweep Conjugate Gradient Method for Solving First Order Linear Fredholm Integro-differential Equations |
| title_fullStr | Half-sweep Conjugate Gradient Method for Solving First Order Linear Fredholm Integro-differential Equations |
| title_full_unstemmed | Half-sweep Conjugate Gradient Method for Solving First Order Linear Fredholm Integro-differential Equations |
| title_short | Half-sweep Conjugate Gradient Method for Solving First Order Linear Fredholm Integro-differential Equations |
| title_sort | half-sweep conjugate gradient method for solving first order linear fredholm integro-differential equations |
| topic | trapezoidal central difference and Half-Sweep conjugate gradient Integro-differential equations |
| url | http://hdl.handle.net/20.500.11937/6753 |