3-Point Implicit Block Method for Solving Ordinary Differential
Equations
Bulletin of the Malaysian Mathematical Society, Tome 29 (2006) no. 1
Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website
A 3-point implicit block method for solving system of first order ordinary differential equations (ODEs) is proposed. This method approximates the solutions of initial value problems at 3 points simultaneously using variable step size. The stability of the method is also studied. The numerical results show that the method is more efficient than the 3-point implicit block method developed by Rosser [4] in terms of the total number of steps and execution times.
Classification :
65L06, 65L05.
@article{BMMS_2006_29_1_a3,
author = {Zanariah Abdul Majid and Mohamed Bin Suleiman and Zurni Omar},
title = {3-Point {Implicit} {Block} {Method} for {Solving} {Ordinary} {Differential
} {Equations}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2006},
volume = {29},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2006_29_1_a3/}
}
TY - JOUR
AU - Zanariah Abdul Majid
AU - Mohamed Bin Suleiman
AU - Zurni Omar
TI - 3-Point Implicit Block Method for Solving Ordinary Differential
Equations
JO - Bulletin of the Malaysian Mathematical Society
PY - 2006
VL - 29
IS - 1
UR - http://geodesic.mathdoc.fr/item/BMMS_2006_29_1_a3/
ID - BMMS_2006_29_1_a3
ER -
%0 Journal Article
%A Zanariah Abdul Majid
%A Mohamed Bin Suleiman
%A Zurni Omar
%T 3-Point Implicit Block Method for Solving Ordinary Differential
Equations
%J Bulletin of the Malaysian Mathematical Society
%D 2006
%V 29
%N 1
%U http://geodesic.mathdoc.fr/item/BMMS_2006_29_1_a3/
%F BMMS_2006_29_1_a3
Zanariah Abdul Majid; Mohamed Bin Suleiman; Zurni Omar. 3-Point Implicit Block Method for Solving Ordinary Differential
Equations. Bulletin of the Malaysian Mathematical Society, Tome 29 (2006) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2006_29_1_a3/