Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641360 | Journal of Computational and Applied Mathematics | 2010 | 15 Pages |
Abstract
This paper is devoted to investigating the nonlinear stability properties of linear multistep methods for the solution to neutral delay differential equations in Banach space. Two approaches to numerically treating the “neutral term” are considered, which allow us to prove several results on numerical stability of linear multistep methods. These results provide some criteria for choosing the step size such that the numerical method is stable. Some examples of application and a numerical experiment, which further confirms the main results, are given.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Wansheng Wang, Liping Wen, Shoufu Li,