Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 1411
World Academy of Science, Engineering and Technology
[Mathematical and Computational Sciences]
Online ISSN : 1307-6892
1 New High Order Group Iterative Schemes in the Solution of Poisson Equation
Authors: Sam Teek Ling, Norhashidah Hj. Mohd. Ali
Abstract:
We investigate the formulation and implementation of new explicit group iterative methods in solving the two-dimensional Poisson equation with Dirichlet boundary conditions. The methods are derived from a fourth order compact nine point finite difference discretization. The methods are compared with the existing second order standard five point formula to show the dramatic improvement in computed accuracy. Numerical experiments are presented to illustrate the effectiveness of the proposed methods.Keywords: explicit group iterative method, finite difference, fourth order compact, Poisson equation
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