In the construction of efficient numerical methods for the stiff initial value problems, some second derivative multistep methods have been introduced equipping with super future point technique. In this paper, we are going to introduce a formula for the stability functions of a class of such methods. This group of methods encompasses SDBDF methods and their extensions with advanced step-point feature. This general formula, instead of obtaining the distinct stability functions for each of methods, will facilitate stability analysis of the methods.
Hojjati, G., & Taheri Koltape, L. (2022). On the stability functions of second derivative implicit advanced-step point methods. Journal of Mathematical Modeling, 10(2), 203-212. doi: 10.22124/jmm.2021.20196.1760
MLA
Gholamreza Hojjati; Leila Taheri Koltape. "On the stability functions of second derivative implicit advanced-step point methods". Journal of Mathematical Modeling, 10, 2, 2022, 203-212. doi: 10.22124/jmm.2021.20196.1760
HARVARD
Hojjati, G., Taheri Koltape, L. (2022). 'On the stability functions of second derivative implicit advanced-step point methods', Journal of Mathematical Modeling, 10(2), pp. 203-212. doi: 10.22124/jmm.2021.20196.1760
VANCOUVER
Hojjati, G., Taheri Koltape, L. On the stability functions of second derivative implicit advanced-step point methods. Journal of Mathematical Modeling, 2022; 10(2): 203-212. doi: 10.22124/jmm.2021.20196.1760
)