Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations

Authors

  • E. Aruchunan
  • J. Sulaiman

DOI:

https://doi.org/10.11113/matematika.v27.n.308

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. Keywords: Integro-differential equations; Linear Fredholm equations; Finite difference; Quadrature formulas; Quarter-Sweep iteration. 2010 Mathematics Subject Classification 45J05; 65F10; 65Y20.

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Published

01-11-2011

Issue

Volume 27 (December 2011)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations. (2011). MATEMATIKA, 27, 199-208. https://doi.org/10.11113/matematika.v27.n.308