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dc.contributor.authorAruchunan, Elayaraja
dc.contributor.authorMuthuvalu, M.
dc.contributor.authorSulaiman, J.
dc.contributor.authorKoh, W.
dc.contributor.authorAkhir, K.
dc.identifier.citationAruchunan, 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.

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.publisherUniversiti Putra Malaysia, Institute for Mathematical Research
dc.subjectLinear fredholm
dc.subjectSecond order integro-differential equations
dc.subjectGauss-seidel method
dc.subjectTrapezoidal scheme
dc.subjectQuarter-sweep iterations
dc.subjectSecond order central difference scheme
dc.titleAn Iterative Solution for Second Order Linear Fredholm Integro-Differential Equations
dc.typeJournal Article
dcterms.source.titleMalaysian Journal of Mathematical Sciences
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusFulltext not available

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