TY - JOUR T1 - A Class of Multistep Method Containing Second Order Derivatives for Solving Stiff Ordinary Differential Equations AU - Bao , Xue-Song AU - Xu , Hong-Yi AU - Rui , You-Cai JO - Journal of Computational Mathematics VL - 3 SP - 273 EP - 277 PY - 1991 DA - 1991/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9401.html KW - AB -

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.