Title of article :
Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations
Author/Authors :
Aruchunan, E. Curtin University - School of Engineering - Department of Science and Foundation , Sulaiman, J. Universiti Malaysia Sabah - School of Science and Technology, Malaysia
Abstract :
The purpose of this paper is to scrutinize the application of the Quarter- Sweep Gauss-Seidel (QSGS) method by using the quarter-sweep approximation equation based on backward difference (BD) and repeated trapezoidal (RT) formulas to solve first order linear Fredholm integro-differential equations. The formulation and implementation of the Full-Sweep Gauss-Seidel (FSGS) and Half-Sweep Gauss-Seidel (HSGS) iterative methods are also presented. Then some numerical tests are illustrated to show the effectiveness of QSGS method as compared to the FSGS and HSGS methods.
Keywords :
Integro , differential equations , Linear Fredholm equations , Finite difference , Quadrature formulas , Quarter , Sweep iteration
Journal title :
Matematika
Journal title :
Matematika
