| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4639822 | Journal of Computational and Applied Mathematics | 2011 | 6 Pages |
Abstract
Constructing multi-step difference schemes is important for solving ODE numerically. In this paper, by using an algebraic function approximation to the exponent function, linear multi-step schemes for solving ODE are deduced. The approximation order of this linear multi-step scheme equals that of the algebraic function approximation to ez. Moreover, we show that the linear nn-step difference scheme of order 2n2n is unstable, which is proved in a novel way.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Bing Guo, Ren-Hong Wang, Chun-Gang Zhu,