A new Octo modified explicit group iterative method for the solution of 2D elliptic PDEs

Mohd Kamalrulzaman Md Akhir, and Mohamed Othman, and Mohamed Suleiman, and Sulaiman, (2012) A new Octo modified explicit group iterative method for the solution of 2D elliptic PDEs. Applied Mathematical Sciences, 6 (29-32). pp. 1505-1524. ISSN 1312-885X

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Official URL: http://www.m-hikari.com/ams/ams-2012/ams-29-32-201...

Abstract

The main aim of this paper is to examine a new block iterative method known as the four Point-Octo Modified Explicit Group (OMEG) iterative method in solving two-dimensional elliptic partial differential equations. The method is shown to be very much faster as compared to the full-, half- and quarter-sweep iterative methods. In addition, formulation and implementation of the proposed method to solve the problems are also presented. Numerical test and comparison with other existing four point block iterative methods are given to illustrate the effectiveness of the proposed method.

Item Type:Article
Uncontrolled Keywords:Elliptic equations, Finite difference method, Full-sweep iteration, Half-sweep iteration, Octo-sweep iteration, Quarter-sweep iteration
Subjects:Q Science > QA Mathematics
Divisions:SCHOOL > School of Science and Technology
ID Code:5431
Deposited By:IR Admin
Deposited On:22 Nov 2012 11:22
Last Modified:23 Feb 2015 11:04

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