TY  - JOUR
T1  - Solving Index-1 Semi Explicit System of Differential Algebraic Equations by
Mix-Multistep Method
AU - Faezah Rahim, Yong AU - Bibi Ibrahim, Zarina AU - Suleiman, Mohamed 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 24
SP  - 9538
EP  - 9543
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.9538.9543
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.9538.9543
KW  - numerical experiments
KW  -stiff ODE
KW  -multistep-method
KW  -Differential algebraic equation
KW  -computationaleffort
KW  -accuracy
AB  - Differential Algebraic Equations (DAEs) are regarded as stiff Ordinary Differential Equations (ODEs),
therefore, they are solved using implicit method such as Backward Differential Formula (BDF) type of method
and require the use of Newton iteration which usually requires a lot of computational effort. However, not all
of the ODEs in the DAE system are stiff. In this study, we describe a new technique for solving index-1 semi
explicit system of DAE where the ODEs are treated as non-stiff at the start of the integration and putting the
non-stiff ODE’s into the stiff subsystem should instability occurs. Adams type of method is used to solve the
non-stiff part and BDF method for the stiff part. This strategy is shown to be competitive in terms of
computational effort and accuracy. Some numerical experiments are presented to illustrate the effectiveness.
ER  -