A Class of Multistep Method Containing Second Order Derivatives for Solving Stiff Ordinary Differential Equations
Year: 1991
Author: Xue-Song Bao, Hong-Yi Xu, You-Cai Rui
Journal of Computational Mathematics, Vol. 9 (1991), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1991-JCM-9401
Journal of Computational Mathematics, Vol. 9 (1991), Iss. 3 : pp. 273–277
Published online: 1991-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 5