摘要
利用染色函数解法求解膛内弹上气室气流的一阶非线性分段微分方程组,进行了大量的数值试验,证实数值解是收敛的,也是稳定的.分段区域的存在导致数值计算精度下降,缩小数值计算的步长可以有效提高存在分段区域的数值计算精度,降低计算结果的波动区间,满足工程计算要求.在数值计算的初始段,数值解出现大幅跳动.
The numerical solution of chromosome-function was applied for a lot of first order differential equations for the chamber on the projectile in bore of a gun. Numerical experiments were carried out. The differential equations are nonlinear and segmental. The astringency and stability in calculation was proved. The existence of segment region causes the decline of numerical precision. The increase of numerical precision and the decrease of numerical fluctuation rang follow the decrease of the maximal step in numerical calculation. In the incipient stage of calculation, the instability exists in numerical calculation.
出处
《弹道学报》
EI
CSCD
北大核心
2007年第4期5-8,共4页
Journal of Ballistics
关键词
非线性分段
微分方程组
染色函数
数值试验
伸缩杆管体
nonlinear segment
differential equations
chromosome-function
numerical experi-ment
telescopic rod-tube
