This research studies the Modified Accelerated Overrelaxation (MAOR) scheme on Stationary two-dimensional (2D) Partial Differential Equations (PDEs). The PDEs are discretized using the five-point Explicit Group (EG) finite difference method. To test the feasibility of this proposed method, two different equations were tested when conducting numerical experiments. The experiment will show the superiority of the MAOR scheme when compared with previous well known relaxation schemes on different mesh size.

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