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一类非线性分段微分方程组染色函数解法
Numerical Solution of Chromosome-function in Segment Nonlinear Differential Equations
【摘要】 把染色函数解法应用于求解一类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其敛值计算精度,满足工程计算要求。另外,还发现在的右邻域内数值解出现大幅跳动,即数值解出现不稳定现象。
【Abstract】 In the paper,the numerical solution of chromosome-function is applied for a lot of first order differential e- quations and is experimented largely with numerical value.The differential equations is nonlinear segment.In the solu- tion.the astringency and stability in calculation is proved out.The increase in precision in calculation follows the de- crease in the maximal step in numerical calculation.In neighborhood in zero.instability in numerical calculation is dis- covered.
【关键词】 非线性;
分段;
微分方程组;
染色函数;
数值试验;
【Key words】 nonlinear; segment; differential equations; chromosome-function; numerical examination;
【Key words】 nonlinear; segment; differential equations; chromosome-function; numerical examination;
- 【文献出处】 弹箭与制导学报 ,Journal of Projectiles,Rockets,Missiles and Guidance , 编辑部邮箱 ,2005年S2期
- 【分类号】O241.8
- 【下载频次】57