This paper studied the order and stability of a 2-Point Block Backward Difference method (2PBBD) for solving systems of nonstiff higher order Ordinary Differential Equations (ODEs) directly. The method computes the estimated solutions at two points concurrently within an equidistant block. The integration coefficients that are used in the method are calculated only once at the beginning of the programming. The numerical results obtained compare the stability region and error growth rate of the proposed method with 2-Point Block Divided Difference method (2PBDD) and 1-Point Backward Difference method (1PBD).
REFERENCES
1.
2.
3.
A. F. N.
Rasedee
, M. B.
Suleiman
and Z. B.
Ibrahim
, Mathematical Problems in Engineering
, (2014
).4.
H. M.
Ijam
, M. B.
Suleiman
, A. F. N.
Rasedee
, N.
Senu
, A.
Ahmadian
and S.
Salahshour
, Abstract and Applied Analysis
, (2014
).5.
Z. B.
Ibrahim
, Applied Mathematics and Computation
186
(1
), 558
–565
(2007
).6.
H.
Musa
, M. B.
Suleiman
, F.
Ismail
, N.
Senu
and Z. B.
Ibrahim
, AIP Conference Proceedings
1522
, 211
–220
(2013
).7.
M. B.
Suleiman
, H.
Musa
, F.
Ismail
and N.
Senu
, International Journal of Computer Mathematics
90
(11
), 2391
–2408
(2013
).8.
Z. B.
Omar
, “Parallel block method for solving higher order ordinary differential equations directly
,” Ph.D. thesis, Universiti Putra Malaysia
, 1999
.9.
M. B.
Suleiman
, “Generalised multistep Adams and backward differentiation methods for the solution of stiff and non-stiff ordinary differential equations
,” Ph.D. thesis, University of Manchester
, 1979
.
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