| 一类求解常微分方程初值问题的线性多步方法 |
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| 引用本文： | 黄永东.一类求解常微分方程初值问题的线性多步方法[J].宁夏大学学报(自然科学版),2002,23(4):294-297. |
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| 作者姓名： | 黄永东 |
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| 作者单位： | 西北第二民族学院,信息与计算科学系,宁夏,银川,750021 |
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| 基金项目： | 西北第二民族学院科学研究基金(2002Y023) |
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| 摘 要： | 提出了一类求解非刚性常微分方程初值问题的线性多步方法,该类方法包括k步k阶显式方法和k步k 1阶隐式方法,其绝对稳定的实区间均大于Adams的绝对稳定的实区间。数值算例表明,该类方法优于Adams方法。
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| 关 键 词： | 一阶常微分方程 线性多步方法 显式 隐式 绝对稳定 PECE |
| 文章编号： | 0253-2328(2002)04-0294-04 |
| 修稿时间： | 2002年11月15 |
A class of linear multistep method for solving initial value problems of ordinary differential equations |
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| HUANG Yong-Dong.A class of linear multistep method for solving initial value problems of ordinary differential equations[J].Journal of Ningxia University(Natural Science Edition),2002,23(4):294-297. |
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| Authors: | HUANG Yong-Dong |
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| Abstract: | To give a class of linear multistep method for solving initial value problems of ordinary differential equations, which include both the explicit k step with k order method and the implicit k step with k 1 order method, the real intervals of their absolute stability are larger than that of the Adams method. Numerical tests show that this new method are superior to the Adams one. |
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| Keywords: | ordinary differential equation linear multistep method explicit method implicit method absolute stability PECE |
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