FDTD2D_UPML

4阶龙格--库塔法解常微分方程,比较好用,希望大家尝试.(4-order Runge-Kutta method solution of ordinary differential equations, more useful, I hope everyone try.)

1.数据时随机产生的（产生1000个随机数），进行排序2.每一次数据排序之后，都可以看到排序的移动，交换次数以及排序的时间。 (1. After randomly generated data (generated 1000 random numbers), every sort 2. Sort the data, you can see the sort of move, switching times and sort of time.)

混沌仿真CHEN系统仿真，陈关荣老师的混沌系统。(y_e2 = c*y_h + (c - a)*(x_0+(h/2)) -(x_0+(h/2))*(z_0+(h/2));)

实现多项式相乘求模运算，并且模多项式是可以改变的，方便，简单(To achieve polynomial multiplication modulo operation, and polynomial model can be changed, convenient and simple)

说明：  matlab程序，有约束最优化问题直接法--复合形法(matlab program, constrained optimization problems are the direct method- the complex method)

二分法，用于多项式求解，迭代12次能达到很高的精度(Dichotomy for polynomial solving, iterative 12 times to achieve high precision)

APRIORI ALGORITHM IMPLEMENTATION

相变UDF，包括质量传递和热量传递，能够进行气液相变的模拟(Phase transition UDF, including mass transfer and heat transfer, gas-liquid phase transition can be simulated)

对于PID算法给予了通俗易懂的讲解，有利于初学者快速掌握PID的要领(I give the PID algorithm the understandable explanation，which will help beginners to quickly master the PID essentials)

基于多松弛因子的LB方法，运用C++编写方腔顶盖驱动流，计算方腔内流体的流场(Based on the LB method with multiple relaxation factors, the flow field of the square cavity top cover is written by C++, and the flow field of the fluid in the square cavity is calculated)