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几种数值算法在弹道微分方程组解算中的仿真与比较

马焱 赵捍东 许金鹏 朱福林

测试科学与仪器2016,Vol.7Issue(1):35-39,5.
测试科学与仪器2016,Vol.7Issue(1):35-39,5.DOI:10.3969/j.issn.1674-8042.2016.01.007

几种数值算法在弹道微分方程组解算中的仿真与比较

Simulation and comparison of several numerical algorithms for solving ballistic differential equations

马焱 1赵捍东 1许金鹏 1朱福林1

作者信息

  • 1. 中北大学 机电工程学院,山西 太原 030051
  • 折叠

摘要

Abstract

Several numerical methods of differential equations and their applications in ballistic calculation are discussed for the purpose of simplification of the dynamic differential equations of projectile trajectory.Program simulations of Euler method, Heun method,lassic fourth-order Runge Kutta (RK4)method,ABM method and Hamming method are achieved based on Matlab.In addtion,the approximate solutions,local truncation errors and calculation time of the dynamic differential equations are obtained.By analyzing the simultaion results,the advantages and disadvantages of these methods are compared,which pro-vides a basis for choice of ballistic calculation methods.

关键词

经典四阶龙格库塔法/弹道解算/解算时间

Key words

classic fourth-order Runge Kutta (RK4)method/ballistic calculation/calculation time

分类

信息技术与安全科学

引用本文复制引用

马焱,赵捍东,许金鹏,朱福林..几种数值算法在弹道微分方程组解算中的仿真与比较[J].测试科学与仪器,2016,7(1):35-39,5.

测试科学与仪器

OACSCD

1674-8042

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