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.
REFERENCES
1.
D. M.
Young
, Transactions of the American Mathematical Society
, 76
: 92
–111
, (1954
).2.
J. H.
Eng
, A.
Saudi
and J.
Sulaiman
, International Conference on High Performance Compilation, Computing and Communications
, 60
–64
, (2017
).3.
M.
Othman
and A. R.
Abdullah
, International Journal of Computer Mathematics
, 76
:2
, (2000
).4.
J. V. L.
Chew
and J.
Sulaiman
, Journal of Physics: Conference Series
, 890
(2017
) 012075
.5.
D. R.
Kincaid
and D. M.
Young
, Mathematics of Computation
, 26
: 705
–717
, (1972
).6.
J. V. L.
Chew
and J.
Sulaiman
, Journal of Applied Mathematics and Computational Mechanics
, 15
(2
): 11
–21
, (2016
).7.
A.
Hadjidimos
, Mathematics of Computation
, 32
: 149
–157
, (1978
).8.
A. A.
Dahalan
, A.
Saudi
, J.
Sulaiman
and W. R. W.
Din
, Journal of Physics: Conference Series
, 890
(2017
) 012064
.9.
A.
Hadjidimos
, A.
Psimarni
and A. K.
Yeyios
, Computer Science Technical Reports
, Paper 790, (1989
).10.
D. J.
Evans
, International Journal of Computational Mathematics
, 17
: 81
–108
, (1985
).11.
M.
Othman
, A. R.
Abdullah
and D. J. A
Evans
, International Journal of Parallel, Emergent and Distributed Systems
, 19
(1
): 1
–9
, (2004
).12.
N. H. M.
Ali
and N. K.
Fu
, 12th WSEAS Int. Conf. on Applied Mathematics, Cairo, Egypt
, 162
–167
(2007
).
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