Title of article
An Accelerated Over-Relaxation Quarter-Sweep Point Iterative Method forTwo-Dimensional Poisson Equation(Kaedah Lelaran Titik Suku Sapuan Pengenduran Berlebihan Terpecutbagi Persamaan Poisson 2-Matra)
Author/Authors
RAKHIMOV, SHUKHRAT I. , OTHMAN, MOHAMED Universiti Putra Malaysia - Faculty of Computer Science and Information Technology - Dept of Communication Tech and Network, Malaysia
From page
729
To page
733
Abstract
Iterative methods, particularly over-relaxation methods, are efficiently and frequently used to solve large systems of linear equations, because in the solutions of partial differential equations, these methods are applied to systems which are resulted from different iterative schemes to discrete equations. In this paper we formulate an accelerated over-relaxation (AOR) method with the quarter-sweep iterative scheme applied to the Poisson equation. To benchmark the new method we conducted experiments by comparing it with the previous AOR methods based on full- and half-sweep iterative schemes. The results of the experiments and the estimation of the computational complexity of the methods proved the superiority of the new method.
Keywords
Accelerated over , relaxation , point iterative methods , Poisson equation
Record number
2554765
Link To Document