TY - JOUR
T1 - A Predictor Modification to the EBDF Method for Stiff Systems
AU - Alberdi , Elisabete
AU - Anza , Juan José
JO - Journal of Computational Mathematics
VL - 2
SP - 199
EP - 214
PY - 2011
DA - 2011/04
SN - 29
DO - http://doi.org/10.4208/jcm.1009-m3137
UR - https://global-sci.org/intro/article_detail/jcm/8473.html
KW - Backward differentiation formula (BDF), EBDF, Predictor, Stability, Stiff systems.
AB - <p style="text-align: justify;">In this paper we modify the EBDF method using the NDFs as predictors instead of BDFs. This modification, that we call ENDF, implies the local truncation error being smaller than in the EBDF method without losing too much stability. We will also introduce two more changes, called ENBDF and EBNDF methods. In the first one, the NDF method is used as the first predictor and the BDF as the second predictor. In the EBNDF, the BDF is the first predictor and the NDF is the second one. In both modifications the local truncation error is smaller than in the EBDF. Moreover, the EBNDF method has a larger stability region than the EBDF.</p>