The paper deals with the system of cubic B-spline approximation equation is generated by applying cubic B-spline discretization scheme in solving two-point boundary value problems (BVPs). Then, the system will be solved by using Kaudd Accelerated Over Relaxation (KAOR) iterative method. As comparison, the KAOR iterative method also consider with Gauss-Seidel (GS) and Successive Over Relaxation (SOR) on two numerical examples problem to observe the efficiency of these proposed methods are consider. From the numerical results have been recorded, it shows that the KAOR method is a superior method in term number of iteration and computational time.
Topics
Interpolation
REFERENCES
1.
I. J.
Schoenberg
, Quart. Appl. Math.
4
, 112
–141
(1946
).2.
I. J.
Schoenberg
, Mathematical time exposures
, Mathematical Association of America
(1982
).3.
J. W.
Choi
, R. E.
Curry
and G. H.
Elkaim
, Computer Aided Design.
44
, 311
–319
(2012
).4.
M.
El-Gamel
, Applied Mathematics and Computation.
186
(1
), 652
–664
(2007
).5.
B.
Jang
, Computational and Applied Mathematics.
219
(1
), 253
–262
(2007
).6.
A.
Mohsen
and M. E.
Gamel
, Computer And Mathematics With Applications.
56
, 930
–941
(2008
).7.
Y.
Lin
, J. A.
Enszer
and M. A.
Stadtherr
, Computer and Chemical Engineering.
32
, 1714
–1725
(2008
).8.
E. L.
Albasiny
and W. D.
Hoskin
, The Computer Journal.
12
, 151
–153
(1969
).9.
M. A.
Ramadan
, I. F.
Lashien
and W. K.
Zahra
, Applied Mathematics and Computation.
184
, 476
–484
(2007
).10.
C.
Nazan
and C.
Hikmet
, Computers and Mathematics with Application.
57
, 757
–762
(2008
).11.
Young
, D. M.
(1971
). Iterative Solution Of Large Linear Systems
. London
: Academic Press
.12.
Hackbusch
, W.
(1995
). Iterative Solution of Large Sparse Systems of Equations
, Springer-Verlag
.13.
Saad
, Y.
(1996
). Iterative Methods for Sparse Linear Systems
. International Thomas Publishing
.14.
I.
Botella
and K.
Shariff
, International Journal of Computational Fluid Dynamics
. 17
, 133
–149
(2003
).15.
16.
A.
Hadijidmos
, Mathematics of Computation
. 32
, 149
–157
(1978
).17.
G.
Aldevas
and A.
Hadijidmos
, Mathematics of Computation
. 36
, 183
–187
(1981
).18.
I. K.
Youssef
, Journal Mathematics Statistic
. 8
, 176
–184
(2012
).19.
I. K.
Youssef
and M. M.
Farid
, Pure and Applied Mathematics Journal
. 4
: 26
–31
(2015
).20.
H. N.
Caglar
, S. H.
Caglar
and K.
Elfaituri
, Applied Mathematics and Computation
. 175
, 72
–79
(2006
).21.
M. K. M.
Akhir
, M.
Othman
, J.
Sulaiman
, Z. A.
Majid
and M.
Suleiman
. Aust. J. Of Bas. Appl. Sci.
5
, 3033
–3039
(2011
).22.
A.
Ibrahim
and A. R.
Abdullah
, International Journal Computational Mathematics
. 58
, 253
–256
(1995
).23.
W. S.
Yousif
and D, J.
Evans
, Parallel Algorithm and Application
. 7
, 53
–71
(1995
).24.
M. S.
Muthuvalu
and J.
Sulaiman
, Applied Mathematics Computational
. 217
(12
), 5442
–5448
(2011
).25.
J.
Sulaiman
, M.
Othman
and M. K.
Hasan
. International Journal Computational Mathematics
. 18
(12
), 1559
–1565
(2004
).26.
J.
Sulaiman
, M.
Othman
and M. K.
Hasan
, Chamchuri Journal of Mathematics
. 1
(2
), 89
–99
(2009
).
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