数值微分中步长的选取  

Selection of step size in numerical differentiation

作　　者：雍龙泉[1] 史加荣[2] 曹成 YONG Longquan;SHI Jiarong;CAO Cheng(School of Mathematics and Computer Science,Shaanxi University of Technology,Hanzhong 723001,China;School of Science,Xi′an University of Architecture and Technology,Xi′an 710055,China)

机构地区：[1]陕西理工大学数学与计算机科学学院,陕西汉中723001 [2]西安建筑科技大学理学院,陕西西安710055

出　　处：《高师理科学刊》2024年第9期76-80,共5页Journal of Science of Teachers＇College and University

基　　金：陕西省自然科学基础研究计划项目(2024JC-YBMS-014);陕西理工大学本科教育教学改革研究项目(XJG2421);陕西理工大学研究生教育教学改革研究项目(SLGYJG2306)。

摘　　要：数值微分是求解微分方程数值解的关键,通过多个实例分析了数值微分中步长的选取原则.为了避免由两个相近的数作减法运算而带来误差,在实际计算数值微分时,取适当的步长便可以得到较好的近似结果.Numerical differentiation is the key to solving numerical solution of differential equations.The principle of step size selection in numerical differentiation is analyzed through several examples.In order to avoid the error caused by subtraction of two similar numbers,a better approximate result can be obtained by taking appropriate step size when calculating numerical differentiation in practice.

关 键 词：数值微分 步长 误差 

分 类 号：O241[理学—计算数学] G642.0[理学—数学]