Half-Sweep Conjugate Gradient method for solving first order linear Fredholm integro-differential equations

Aruchunan, Elayaraja; Sulaiman, J.

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Authors

Aruchunan, Elayaraja

Sulaiman, J.

Date

2010

Type

Conference Paper

Metadata

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Citation

Aruchunan, Elayaraja and Sulaiman, Jumat. 2010. Half-Sweep Conjugate Gradient method for solving first order linear Fredholm integro-differential equations, Chowdhury, S.H. (ed), Engineering Mathematics Without Bounds, Aug 3 2010, pp. 237-240. Kuala Lumpur, Malaysia: International Islamic University Malaysia (IIUM).

Source Title

Proceedings of International Conference on Mathematical Applications inEngineering (ICMAE?10)

Source Conference

Engineering Mathematics Without Bounds

ISBN

978-983-43090-4-6

School

Curtin Sarawak - Faculty Office

URI

http://hdl.handle.net/20.500.11937/44419

Collection

Curtin Research Publications

Abstract

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 proposedmethod 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.