摘要
使用微分方程拟合数据不同于普通的数据拟合,拟合无明确的解析表达式可以利用,拟合结果容易发散,拟合程序设计较为困难。以COVID-19疫情数据为例,利用病毒传播SEIR模型,详细介绍了使用Igor Pro对微分方程进行数据拟合的基本原理、程序面板的设计、拟合函数的编写、初始参数的设置等,分析了拟合结果的物理意义及可能存在的局限性,讨论了利用微分方程拟合数据时需要注意的问题。
Fitting data to a differential equation is different from ordinary data fitting cases.There is no explicit analytical expression to use in fitting.The fitting results are easy to diverge and the fitting program design is more difficult.Taking COVID-19 epidemic data as an example,this paper introduces the use of Igor Pro in detail by using the SEIR model of virus transmission.The basic principle of fitting data to differential equation by Igor Pro,the design of software panel,the coding of fitting function and the setting of initial parameters are analyzed.The physical meaning of fitting results and the possible limitations are analyzed.The problems needing attention when using differential equation to fit data are discussed.
作者
贾小文
范海英
尹霖
张金凤
赵云飞
邱成锋
JIA Xiaowen;FAN Haiying;YIN Lin;ZHANG Jinfeng;ZHAO Yunfei;QIU Chengfeng(General Course Department,Army Military Transportation University of PLA,Tianjin 300161,China)
出处
《实验科学与技术》
2021年第6期20-24,共5页
Experiment Science and Technology
基金
陆军军事交通学院重点课程建设项目(4142ZB101)。
