Investigation of Triangle Element Analysis for the Solutions of 2D Poisson Equations via AOR method
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 11, Issue 2
Abstract
In earlier studies of iterative approaches, the accelerated over relaxation (AOR) method has been pointed out to be much faster as compared to the existing successive over re- laxation (SOR) and Gauss Seidel (GS) methods. Due to the effectiveness of this method, the foremost goal of this paper is to demonstrate the use of the AOR method together with triangle element solutions based on the Galerkin scheme method. The effectiveness of this method has been shown via results of numerical experiments, which are logged and examined. The findings show that the AOR method is superior as compared with the existing SOR and GS methods.
Authors and Affiliations
Mohd Kamalrulzaman
Keywords
Related Articles
- EP ID EP651583
- DOI 10.24297/jam.v11i2.1287
- Views 118
- Downloads 0
Two Inequalities and Two Means
The paper presents geometric derivations of Jensen's and Hermite-Hadamard's inequality.Jensen's inequality is further involved to a concept of quasi-arithmetic means. Hermite-Hadamard's inequality is applied to compare t...
Pettis integration via statistical convergence
In this paper we extend the usual concept of Pettis integration to a statistical form. In order to achieve this, A we prove some necessary statements such as Vitali theorem and A use the statistically compactness. We obt...
Approximation of General Form for a Sequence of Linear Positive Operators Based on Four Parameters
In the present paper, we define a generalization sequence of linear positive operators based on four parameters which is reduce to many other sequences of summation–integral older type operators of any weight function (B...
Blow-up of Solution for Initial Boundary Value Problem of Reaction Diffusion Equations
In this paper, the blow-up of solution for the initial boundary value problem of a class of reaction diffusion equations with multiple nonlinearities is studied. We prove, under suitable conditions on memory and nonlinea...
Harmonic Matrix and Harmonic Energy
We define the Harmonic energy as the sum of the absolute values of the eigenvalues of the Harmonic matrix, and establish some of its properties, in particular lower and upper bounds for it.