A note on multi-step difference schemes

被引：0
|
作者：
Guo, Bing [1 ]
Wang, Ren-Hong [1 ]
Zhu, Chun-Gang [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 236卷 / 05期
关键词：
Algebraic function; Difference scheme; Unstable; ODE; STABILITY; ORDER; PADE;
D O I：
10.1016/j.cam.2011.06.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 e(z). Moreover, we show that the linear n-step difference scheme of order 2n is unstable, which is proved in a novel way. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：647 / 652
页数：6
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