@Article{JCM-9-3, author = {Xue-Song, Bao and Xu, Hong-Yi and You-Cai, Rui}, title = {A Class of Multistep Method Containing Second Order Derivatives for Solving Stiff Ordinary Differential Equations}, journal = {Journal of Computational Mathematics}, year = {1991}, volume = {9}, number = {3}, pages = {273--277}, abstract = {

In this paper a general k-step k-order multistep method containing derivatives of second order is given. In particular, a class of k-step (k+1)th-order stiff stable multistep methods for k=3-9 is constructed. Under the same accuracy, these methods are possessed of a larger absolute stability region than those of Gear's [1] and Enright's [2]. Hence they are suitable for solving stiff initial value problems in ordinary differential equations.  

}, issn = {1991-7139}, doi = {https://doi.org/1991-JCM-9401}, url = {https://global-sci.com/article/86007/a-class-of-multistep-method-containing-second-order-derivatives-for-solving-stiff-ordinary-differential-equations} }