TY  - JOUR
UR  - https://www.scopus.com/inward/record.uri?eid=2-s2.0-84906275982&partnerID=40&md5=9cd138382163651e5f01e5d6c7e476d2
PB  - Universiti Putra Malaysia
IS  - 2
SP  - 157
N1  - cited By 8
Y1  - 2014///
A1  - Aruchunan, E.
A1  - Muthuvalu, M.S.
A1  - Sulaiman, J.
A1  - Koh, W.S.
A1  - Akhir, K.M.
ID  - scholars4983
TI  - An iterative solution for second order linear Fredholm integro-differential equations
SN  - 18238343
AV  - none
JF  - Malaysian Journal of Mathematical Sciences
VL  - 8
N2  - 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.
EP  - 170
ER  -