Geodesic
3-Point Implicit Block Multistep Method for the Solution of First Order ODEs
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2A Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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A new 3-point three step method is developed for solving system of first order ordinary differential equations (ODEs). This method at each step approximates the solution at three points simultaneously using variable step size. The method is in a simple form as Adams Moulton method with the specific aim of gaining efficiency. The Gauss-Seidel style is used for the implementation of the proposed method in PE(CE) mode. The stability regions of the method are discussed. Numerical results show that the proposed method is more efficient than some existent block method, in terms of accuracy, total number of steps and function calls and execution times.
Classification : Primary: 65L05, 65L06. 
@article{BMMS_2012_35_2A_a9,
     author = {S. Mehrkanoon and Z. A. Majid and M. Suleiman and K. I. Othman and Z. B. Ibrahim},
     title = {3-Point {Implicit} {Block} {Multistep} {Method} for the {Solution} of {First} {Order} {ODEs}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2012},
     volume = {35},
     number = {2A},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_2A_a9/}
}
TY  - JOUR
AU  - S. Mehrkanoon
AU  - Z. A. Majid
AU  - M. Suleiman
AU  - K. I. Othman
AU  - Z. B. Ibrahim
TI  - 3-Point Implicit Block Multistep Method for the Solution of First Order ODEs
JO  - Bulletin of the Malaysian Mathematical Society
PY  - 2012
VL  - 35
IS  - 2A
UR  - http://geodesic.mathdoc.fr/item/BMMS_2012_35_2A_a9/
ID  - BMMS_2012_35_2A_a9
ER  - 
%0 Journal Article
%A S. Mehrkanoon
%A Z. A. Majid
%A M. Suleiman
%A K. I. Othman
%A Z. B. Ibrahim
%T 3-Point Implicit Block Multistep Method for the Solution of First Order ODEs
%J Bulletin of the Malaysian Mathematical Society
%D 2012
%V 35
%N 2A
%U http://geodesic.mathdoc.fr/item/BMMS_2012_35_2A_a9/
%F BMMS_2012_35_2A_a9
S. Mehrkanoon; Z. A. Majid; M. Suleiman; K. I. Othman; Z. B. Ibrahim. 3-Point Implicit Block Multistep Method for the Solution of First Order ODEs. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2A. http://geodesic.mathdoc.fr/item/BMMS_2012_35_2A_a9/