%0 Conference Paper
%A Aruchunan, E.
%A Muthuvalu, M.S.
%A Sulaiman, J.
%D 2013
%F scholars:3637
%P 168-175
%R 10.1063/1.4801120
%T Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations
%U https://khub.utp.edu.my/scholars/3637/
%V 1522
%X The main core of this paper is to analyze the application of the quarter-sweep iterative concept on finite difference and composite trapezoidal schemes with Gauss-Seidel iterative method to solve first order linear Fredholm integro-differential equations. The formulation and implementation of the Full-, Half- and Quarter-Sweep Gauss-Seidel methods namely FSGS, HSGS and QSGS respectively are also presented for performance comparison. Furthermore, computational complexity and percentage reduction analysis are also included and integrated with several numerical simulations. Based on numerical results, findings show the proposed QSGS method with the corresponding discretization schemes is superior compared to FSGS and HSGS iterative methods. © 2013 AIP Publishing LLC.
%Z cited By 3; Conference of 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 ; Conference Date: 18 December 2012 Through 20 December 2012