Application of the Central-Difference with Half-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-Differential Equations

Aruchunan, Elayaraja; Sulaiman, J.

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Access Status

Open access

Authors

Aruchunan, Elayaraja

Sulaiman, J.

Date

2012

Type

Journal Article

Metadata

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Citation

Aruchunan, E. and Sulaiman, J. 2012. Application of the Central-Difference with Half-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-Differential Equations. International Journal of Engineering and Applied Sciences. 6: pp. 296-300.

Source Title

International Journal of Engineering and Applied Sciences

ISSN

2010-3980

School

Curtin Sarawak

Remarks

This open access article is distributed under the Creative Commons license http://creativecommons.org/licenses/by/4.0/

URI

http://hdl.handle.net/20.500.11937/28176

Collection

Curtin Research Publications

Abstract

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.