An iterative solution for second order linear Fredholm integro-differential equations

Aruchunan, Elayaraja , and Muthuvalu, Mohana Sundaram , and Jumat Sulaiman, and Koh, Weisin and Kamalrulzaman Md Akhir, (2014) An iterative solution for second order linear Fredholm integro-differential equations. Malaysian Journal of Mathematical Sciences, 8518 LNCS (2). pp. 116-126. ISSN 1823-8343

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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.

Item Type:Article
Uncontrolled Keywords:Quarter-sweep iterative , central difference (CD)-composite trapezoidal (CT), Gauss-Seidel iterative method
Subjects:Q Science > QA Mathematics
ID Code:10332
Deposited By:IR Admin
Deposited On:06 Feb 2015 09:41
Last Modified:16 Feb 2015 15:07

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