Open AccessGroup Splitting with SOR/AOR Methods for Solving Boundary Value Problems: A Computational Comparison
Author(s) -
Abdulkafi Mohammed Saeed,
Najah Mohammad AL-harbi
Publication year - 2021
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v14i3.4031
Subject(s) - mathematics , iterative method , boundary value problem , group (periodic table) , point (geometry) , matlab , mathematical optimization , mathematical analysis , computer science , geometry , chemistry , organic chemistry , operating system
Many researchers are working on the explicit group methods as the alternative methods for solving several boundary value problems. These methods have been shown to be much faster than the other point iterative methods in solving the elliptic partial differential equations (EPDEs), which is due to the formers’ overall lower computational complexities. This paper is concerned with the application of a suitable Explicit Group (EG) iterative method for solving EPDEs. This study will compare several iterative methods such that S5-point-SOR,4 Point-EGSOR, 5S-point-AOR, and 4 Point-EGAOR. Numerical experiments were carried out to confirm our results by using MATLAB software. The results reveal that 4 Point-EGAOR is the most superior method among these methods.