Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations
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Aruchunan, Elayaraja
Sulaiman, J.
Date
2011Type
Journal Article
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Aruchunan, E. and Sulaiman, J. 2011. Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations. MATEMATIKA. 27 (2): pp. 199-208.
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MATEMATIKA
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Curtin Sarawak - Faculty Office
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Abstract
The purpose of this paper is to scrutinize the application of the Quarter-Sweep Gauss-Seidel (QSGS) method by using the quarter-sweep approximation equation based on backward difference (BD) and repeated trapezoidal (RT) formulas to solve first order linear Fredholm integro-differential equations. The formulation and implementation of the Full-Sweep Gauss-Seidel (FSGS) and Half-Sweep Gauss-Seidel (HSGS) iterative methods are also presented. Then some numerical tests are illustrated to show the effectiveness of QSGS method as compared to the FSGS and HSGS methods.
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