Title of article :
Quarter-Sweep Iteration Concept on Conjugate Gradient Normal Residual Method via Second Order Quadrature - Finite Difference Schemes for Solving Fredholm Integro-Differential Equations
Author/Authors :
ARUCHUNAN, ELAYARAJA Curtin University - Faculty of Science and Engineering - Department of Mathematics and Statistics, Australia , MUTHUVALU, MOHANA SUNDARAM Universiti Teknologi PETRONAS - Department of Fundamental and Applied Sciences, Malaysia , SULAIMAN, JUMAT Universiti Malaysia Sabah - Faculty of Science and Natural Resources, Malaysia
Abstract :
In this paper, we have examined the effectiveness of the quarter-sweep iteration concept on conjugate gradient normal residual (CGNR) iterative method by using composite Simpson’s (CS) and finite difference (FD) discretization schemes in solving Fredholm integro-differential equations. For comparison purposes, Gauss- Seidel (GS) and the standard or full- and half-sweep CGNR methods namely FSCGNR and HSCGNR are also presented. To validate the efficacy of the proposed method, several analyses were carried out such as computational complexity and percentage reduction on the proposed and existing methods.
Keywords :
Conjugate gradients normal residual method , linear Fredholm integro , differential equations , quarter , sweep iteration
