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
Official URL: http://www.m-hikari.com/ams/ams-2012/ams-29-32-201...
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.
|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|
|Deposited By:||IR Admin|
|Deposited On:||22 Nov 2012 11:22|
|Last Modified:||23 Feb 2015 11:04|
Repository Staff Only: item control page