Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations

Aruchunan, Elayaraja; Sulaiman, J.

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Authors

Aruchunan, Elayaraja

Sulaiman, J.

Date

2011

Type

Conference Paper

Metadata

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Citation

Aruchunan, Elayaraja and Sulaiman, Jumat. 2011. Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations, in Ghosh, Ujjal Kumar and Nagarajan, R. and Prasanna, M.V. and Sahed, Amar (ed), 3rd CUTSE International Conference, Nov 8-9 2011. Curtin University, Miri, Malaysia: Curtin University, Sarawak

Source Title

Innovative Green Technology for Sustainable Development

Source Conference

3rd CUTSE International Conference

ISBN

978-983-44482-2-6

School

Curtin Sarawak - Faculty Office

URI

http://hdl.handle.net/20.500.11937/8274

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 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.