逆时间反向积分方法研究  

Study of Inverse-time Integration Method

作　　者：简爱平[1] 唐硕[1] 李小龙[1] 

机构地区：[1]西北工业大学航天工程学院,西安710072

出　　处：《战术导弹技术》2000年第2期57-63,共7页Tactical Missile Technology

摘　　要：对反向积分方法问题作了初步探讨 .首先 ,分析了反向积分方法在无人飞行器系统仿真应用上的优点和难点 ;然后 ,对微分方程的典型数值积分方法——龙格库塔法进行反向积分公式推导与分析 ,并结合线性微分方程组、一般非线性微分方程组以及带有特殊环节的特殊非线性微分方程组进行了算例分析 。A method of inverse time integration has been discussed. Firstly, some merits and difficulties of the method in applying to pilotless aerocraft system simulation are analyzed. Secondly, the inverse time integration formula of the typical numerical solution——Lungkuta solution of differential equations is deduced and analyzed. Finally, based on the algorithm, several examples have been provided with the solutions of some linear differential equations, generic nonlinear differential equations and special nonlinear differential equations including special nonlinear units. The comparison between inverse time simulation results and direct simulation results show the effectiveness and accuracy of the algorithm.

关 键 词：反向积分 算法 系统仿真 远程导弹 

分 类 号：TJ76[兵器科学与技术—武器系统与运用工程]