Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 912691, 18 pages
Research Article

Estimation of Longest Stability Interval for a Kind of Explicit Linear Multistep Methods

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

Received 5 June 2010; Accepted 4 October 2010

Academic Editor: Manuel De la Sen

Copyright © 2010 Y. Xu and J. J. Zhao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The new explicit linear three-order four-step methods with longest interval of absolute stability are proposed. Some numerical experiments are made for comparing different kinds of linear multistep methods. It is shown that the stability intervals of proposed methods can be longer than that of known explicit linear multistep methods.