TY - JOUR
T1 - A Class of DBDF Methods with the Derivative Modifying Term
AU - Xiang , Jia-Xiang
AU - Kuang , Jiao-Xun
JO - Journal of Computational Mathematics
VL - 1
SP - 7
EP - 13
PY - 1988
DA - 1988/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9493.html
KW - 
AB -  In this paper, a class of DBDF methods with the derivative medifying term is presented. The methods is $$\sum\limits^k\limits_{j=0}a_jy_{n+j}=hf_{n+k}+ah^2f'_{n+k}$$ which is of $k$-step and order $k+1$. The numerical stability of the new method is much better than both Gear's methods and Enright's methods.