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Volume 9, Issue 3
A Class of Multistep Method Containing Second Order Derivatives for Solving Stiff Ordinary Differential Equations

Xue-Song Bao, Hong-Yi Xu & You-Cai Rui

J. Comp. Math., 9 (1991), pp. 273-277.

Published online: 1991-09

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  • 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.  

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@Article{JCM-9-273, author = {Bao , Xue-SongXu , Hong-Yi and Rui , You-Cai}, 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/}, url = {http://global-sci.org/intro/article_detail/jcm/9401.html} }
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.  

Bao , Xue-SongXu , Hong-Yi and Rui , You-Cai. (1991). A Class of Multistep Method Containing Second Order Derivatives for Solving Stiff Ordinary Differential Equations. Journal of Computational Mathematics. 9 (3). 273-277. doi:
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