| 一类带参数的两步方法及其A-稳定的条件分析 |
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| 引用本文： | 陈宝凤,周乾智.一类带参数的两步方法及其A-稳定的条件分析[J].安阳师范学院学报,2014(2):10-13. |
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| 作者姓名： | 陈宝凤 周乾智 |
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| 作者单位： | 安阳工学院数理学院;陕西理工学院数计学院; |
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| 摘 要： | 本文首先给出了常微分方程数值方法的一些基本概念,然后借助阶的等价条件,构造了一类带参数的两步方法,最后得到了这类两步方法 A-稳定的条件。
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| 关 键 词： | 阶 两步方法 A-稳定性 |
A Class of Two Step Method with a parameter and its Conditions Analysis about A-stability |
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| Institution: | CHEN Bao - feng, ZHOU Qi - zhi ( 1. College of Mathematics and Physics, Anyang Institude of Technology, Anyang 455000, China; 2. School of Mathematics and Shanxi University of Teachnology, Hanzhong 723001 ,China) |
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| Abstract: | In this paper,firstly,some of the basic concepts about numerical methods for ordinary differential equations are introduced. Secondly,we construct two-step method with a parameter by virtue of the equivalent conditions of order. Finally,A-stability conditions of the two-step method are obtained. |
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| Keywords: | Order Two step method A-stability |
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