泰勒级数展开在液流控制系统模型中的应用  

Application of Taylor Series in Fluid System Modeling

作　　者：程艳 刘杰 CHENG Yan;LIU Jie(Departmen of Mathematics and Physics,Jinzhong College of Information,Jinzhong,Shanxi 030800,China;School of Intelligent Manufacturing,Shanxi Vocational Universtiy of Engineering Science and Technology,Jinzhong,Shanxi 030619,China)

机构地区：[1]晋中信息学院数理教学部,山西晋中030800 [2]山西工程科技职业大学智能制造学院,山西晋中030619

出　　处：《自动化应用》2024年第1期229-232,共4页Automation Application

基　　金：山西省高等学校科技创新项目(2023L510)。

摘　　要：泰勒级数是工科专业中非常重要的数学工具。为了提高学生的高阶思维能力,总结了泰勒级数的几种展开形式,并列举了泰勒级数在高等数学和液体流量控制系统中的应用实例,最后通过数值模拟验证了结果的可行性。Taylor series is a very important mathematical tool for engineering majors.In order to improve students'higher-order thinking ability,several expansion forms of Taylor series are summarized,and the application cases of Taylor series in advanced mathematics and liquid flow control systems are listed.Finally,numerical simulation is carried out to verify the feasibility of the results.

关 键 词：泰勒级数 液流控制系统 拉普拉斯变换 

分 类 号：O173[理学—数学]