TY - JOUR
T1 - On the integration of stiff odes using block backward differentiation formulas of order six
AU - Nasarudin, Amiratul Ashikin
AU - Ibrahim, Zarina Bibi
AU - Rosali, Haliza
N1 - Funding Information:
Funding: This research was funded by UNIVERSITI PUTRA MALAYSIA, under the Putra-IPS Grant (project no.:GP-IPS/2018/9624600).
Publisher Copyright:
© 2020 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2020/6/4
Y1 - 2020/6/4
N2 - In this research, a six-order, fully implicit Block Backward Differentiation Formula with two off-step points (BBDFO(6), for the integration of first-order ordinary differential equations (ODEs) that exhibit stiffness, is proposed. The order, consistency and stability properties of the method are discussed, and the method is found to be zero stable and consistent. Hence, the method is convergent. The numerical comparisons with the existing methods of a similar type are given to demonstrate the accuracy of the derived method.
AB - In this research, a six-order, fully implicit Block Backward Differentiation Formula with two off-step points (BBDFO(6), for the integration of first-order ordinary differential equations (ODEs) that exhibit stiffness, is proposed. The order, consistency and stability properties of the method are discussed, and the method is found to be zero stable and consistent. Hence, the method is convergent. The numerical comparisons with the existing methods of a similar type are given to demonstrate the accuracy of the derived method.
KW - Block backward differentiation formula
KW - Fully implicit
KW - Off-step point
UR - http://www.scopus.com/inward/record.url?scp=85087449074&partnerID=8YFLogxK
U2 - 10.3390/SYM12060952
DO - 10.3390/SYM12060952
M3 - Article
AN - SCOPUS:85087449074
SN - 2073-8994
VL - 12
JO - Symmetry
JF - Symmetry
IS - 6
M1 - 952
ER -