摘要
本文对求解常微分方程的广义线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.
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.
关键词
常微分方程
广义
校正公式
多步法
Ordinary differential equation
Generalized multi-step method
Correction technique