MEGSOR iterative scheme for the solution of 2D elliptic PDEs.
Recently, the findings on the MEG iterative scheme has demonstrated to accelerate the convergence rate in solving any system of linear equations generated by using approximation equations of boundary value problems. Based on the same scheme, the aim of this paper is to investigate the capability of...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
World Academy of Science, Engineering and Technology (WASET)
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15602/ |
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| Summary: | Recently, the findings on the MEG iterative scheme
has demonstrated to accelerate the convergence rate in solving any system of linear equations generated by using approximation equations of boundary value problems. Based on the same scheme, the aim of this paper is to investigate the capability of a family of four-point block iterative methods with a weighted parameter,ω such as the 4 Point-EGSOR, 4 Point-EDGSOR, and 4 Point-MEGSOR in solving two-dimensional elliptic partial differential equations by
using the second-order finite difference approximation. In fact, the formulation and implementation of three four-point block iterative methods are also presented. Finally, the experimental results show that the Four Point MEGSOR iterative scheme is superior as compared with the existing four point block schemes. |
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