摘要
文章通过对盈亏修正的磨光法和数值分析中解微分方程的改进欧拉法的研究,提出了一种预测校正分段磨光算法,该算法可使预测精度得到提高,并且使精度能够保持到O(h4(k-1))。实例表明,该算法简单易行,其绝对误差好于盈亏修正模型法,为研究磨光法提供了较好的分析方法。
In this paper,through the study of the profit and loss modified smoothing method and the improved Euler algorithm for solving differential equations in numerical analysis,a forecasting correction segment smoothing algorithm is given.The present algorithm can improve the precision of forecasting and make precision in level of O（h4（k-1））.Examples show that the algorithm is simpler,easier and more efficient than the formers,and the obtained absolute error is better than that by profit and loss modified method.This study provides a better analytical method for studying the smoothing method.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第8期1274-1276,共3页
Journal of Hefei University of Technology：Natural Science
基金
江西省教育厅科研基金资助项目(GJJ09270)
关键词
磨光法
预测校正
盈亏修正
分段
smoothing method
forecasting correction
profit and loss modification
segment
