dc.contributor.author Aruchunan, Elayaraja dc.contributor.author Muthuvalu, M. dc.contributor.author Sulaiman, J. dc.contributor.author Koh, W. dc.contributor.author Akhir, K. dc.date.accessioned 2017-01-30T13:37:31Z dc.date.available 2017-01-30T13:37:31Z dc.date.created 2015-05-06T20:00:40Z dc.date.issued 2014 dc.identifier.citation Aruchunan, E. and Muthuvalu, M. and Sulaiman, J. and Koh, W. and Akhir, K. 2014. An Iterative Solution for Second Order Linear Fredholm Integro-Differential Equations. Malaysian Journal of Mathematical Sciences. 8 (2): pp. 157-170. dc.identifier.uri http://hdl.handle.net/20.500.11937/33509 dc.description.abstract The objective of this paper is to analyze the application of the quarter-sweep iterative concept on Quadrature-Difference schemes namely central difference (CD)-composite trapezoidal (CT) with the Gauss-Seidel iterative method to solve second 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 are presented for performance comparison. Furthermore, computational complexity and percentage reduction calculations are also presented with several numerical simulations. The numerical results show that the proposed QSGS method with the corresponding discretization schemes is superior compared to the FSGS and HSGS methods. dc.publisher Universiti Putra Malaysia, Institute for Mathematical Research dc.subject Linear fredholm dc.subject Second order integro-differential equations dc.subject Gauss-seidel method dc.subject Trapezoidal scheme dc.subject Quarter-sweep iterations dc.subject Second order central difference scheme dc.title An Iterative Solution for Second Order Linear Fredholm Integro-Differential Equations dc.type Journal Article dcterms.source.volume 8 dcterms.source.number 2 dcterms.source.startPage 157 dcterms.source.endPage 170 dcterms.source.issn 1823-8343 dcterms.source.title Malaysian Journal of Mathematical Sciences curtin.department Department of Mathematics and Statistics curtin.accessStatus Fulltext not available
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