TY - JOUR
T1 - The Integration of Stiff Systems of ODEs Using NDFs and MEBDFs
JO - Journal of Computational Mathematics
VL - 2
SP - 175
EP - 189
PY - 2013
DA - 2013/04
SN - 31
DO - http://doi.org/10.4208/jcm.1212-m3987
UR - https://global-sci.org/intro/article_detail/jcm/9728.html
KW - BDF, NDF, MEBDF, Stiff ODEs, Stability
AB - <p style="text-align: justify;">In this paper we modify the MEBDF method using the NDFs as predictors instead of the BDFs. We have done it in three different ways: changing both predictors of the MEBDF, changing only the first predictor and changing only the second one. We have called the new methods MENDF, MENBDF and MEBNDF respectively. The new methods are A-stable up to order $4$ and the stability properties of the new methods are better than the MEBDF method.</p>