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求解常微分方程的广义线性多步法校正公式
引用本文:田天海. 求解常微分方程的广义线性多步法校正公式[J]. 湖北工业大学学报, 1995, 10(1): 38-42
作者姓名:田天海
作者单位:湖北工学院基础课部
摘    要:本文对求解常微分方程的广义性多步法应用校正技术,得到了广义一步法和广义二步法校正公式,并对广义二步法公式和广义二步法校正公式进行了数值计算比较,结果表明,二者具有相同的精度,但后者的计算量减少。

关 键 词:常微分方程 广义 校正公式 多步法

The Correction Formula of the Generalized Multi-step Method in Solving Ordinary Differential Equations
Tian Tianhai. The Correction Formula of the Generalized Multi-step Method in Solving Ordinary Differential Equations[J]. Journal of Hubei University of Technology, 1995, 10(1): 38-42
Authors:Tian Tianhai
Affiliation:Tian Tianhai
Abstract:In this paper,the correction formulae of the generalized one-step method and the generalized two-step method are derived, by using correction technique of generalized multi-step method in solving ordinary differential equations. The computing results of the iterative method and the correction method of the extended two-step methods are compared. The results show that the both precisions are same,but the computing quantity of the latter is less.
Keywords:Ordinary differential equation  Generalized multi-step method  Correction technique  
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