龙格---库塔方法是求解微分方程比较常用的方法,在理解数学上是怎么一回事后,编制这个程是相当容易的,就是个迭代的过程.步长的选取也是很有讲究的,过小的步长反而会导致误差累积过大. 相关的理论请参考相关的数值算法的书籍，我这里只给出关键的函数及主程序段，其余相关的细节就不再一一罗列了.-Runge - Kutta method to solve the differential equation is more commonly used method, in understanding h

飞机运动轨迹模拟 使用龙格-库塔算法计算常微分方程数值解 并用图形显示运动轨迹 作者自己作业的源程序 欢迎讨论-aircraft trajectories simulated using the Runge - Kutta method to calculate the numerical solution of differential equations with graphics and movement track their authors trace the sour

数值微分(DDA)法： 设过端点P0(x0 ,y0)、P1(x1 ,y1)的直线段为L(P0 ,P1)，则直线段L的斜率 L的起点P0的横坐标x0向L的终点P1的横坐标x1步进，取步长=1(个象素)，用L的直线方程y=kx+b计算相应的y坐标，并取象素点(x,round(y))作为当前点的坐标。因为： yi+1 = kxi+1+b = k1xi+b+kDx = yi+kDx 所以，当Dx =1 yi+1 = yi+k。也就是说，当x

C++编写的微分方程求解源码，可以为数值计算提供参考-C++ prepared differential equation solving source can provide a reference for the numerical calculation

该程序实现PID控制的建模仿真，通过设置比例积分微分的数值，对传函实现较为理想的控制。-PID control of the program to achieve the modeling simulation, by setting the value of the proportion of integral differential, the transfer function to achieve a more ideal control.