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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...

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Main Authors: Aruchunan, Elayaraja, Elayaraja Sulaiman
Format: Article
Language:English
Published: 2011
Subjects:
L Education (General)
Online Access:https://eprints.ums.edu.my/id/eprint/21716/1/Application%20of%20the%20Half.pdf
https://eprints.ums.edu.my/id/eprint/21716/
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spelling my.ums.eprints.217162019-04-01T01:03:20Z https://eprints.ums.edu.my/id/eprint/21716/ Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations Aruchunan, Elayaraja Elayaraja Sulaiman L Education (General) 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 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/21716/1/Application%20of%20the%20Half.pdf Aruchunan, Elayaraja and Elayaraja Sulaiman (2011) Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations. International Journal of Engineering and Applied Sciences.
institution Universiti Malaysia Sabah
building UMS Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sabah
content_source UMS Institutional Repository
url_provider http://eprints.ums.edu.my/
language English
topic L Education (General)
spellingShingle L Education (General)
Aruchunan, Elayaraja
Elayaraja Sulaiman
Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations
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
format Article
author Aruchunan, Elayaraja
Elayaraja Sulaiman
author_facet Aruchunan, Elayaraja
Elayaraja Sulaiman
author_sort Aruchunan, Elayaraja
title 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_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_sort application of the half-sweep gauss-seidel method for solving first order linear fredholm integro-differential equations
publishDate 2011
url https://eprints.ums.edu.my/id/eprint/21716/1/Application%20of%20the%20Half.pdf
https://eprints.ums.edu.my/id/eprint/21716/
_version_ 1760229878516416512
score 13.160551

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