Volume 6, Issue 1
A Class of DBDF Methods with the Derivative Modifying Term

Jia-xiang Xiang & Jiao-xun Kuang

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J. Comp. Math., 6 (1988), pp. 7-13

Published online: 1988-06

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  • 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.

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@Article{JCM-6-7, author = {}, 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} }
TY - JOUR T1 - A Class of DBDF Methods with the Derivative Modifying Term 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.
Jia-xiang Xiang & Jiao-xun Kuang. (1970). A Class of DBDF Methods with the Derivative Modifying Term. Journal of Computational Mathematics. 6 (1). 7-13. doi:
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