@Article{JCM-6-7, author = {Xiang , Jia-Xiang and Kuang , Jiao-Xun}, title = {A Class of DBDF Methods with the Derivative Modifying Term}, journal = {Journal of Computational Mathematics}, year = {1988}, volume = {6}, number = {1}, pages = {7--13}, abstract = { 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. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9493.html} }