TY  - JOUR
T1  - Development of A-Stable Block Method for the Solution of
Stiff Ordinary Differential Equations
AU - Mohamad Noor, Nursyazwani AU - Bibi Ibrahim, Zarina 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 22
SP  - 8160
EP  - 8167
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.8160.8167
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.8160.8167
KW  - efficiency
KW  -ordinary differential equations
KW  -stability
KW  -stiff
KW  -backward differentiation formula
KW  -Block method
AB  - A fixed step-size multistep block method for stiff Ordinary Differential Equations (ODEs) using the
2-point Block Backward Differentiation Formulas (BBDF) with improved efficiency is established. The method
is developed using Taylor’s series expansion. The order and the error constant of the method are determined.
To validate the new method is suitable for solving stiff ODEs, the stability and convergence properties are
discussed. Numerical results indicate that the new method produced better accuracy than the existing methods
when sloving the same problems.
ER  -