frft

利用matlab软件的Curve Fitting工具对声速剖面进行拟合，仿真其真实情况，同时对三维数据进行了仿真拟合。(The sound velocity profile was fitted by the Curve Fitting tool of Matlab software, and the real situation was simulated. At the same time, the three-dimensional data was simulated and fitted.)

说明：  超短脉冲在光纤中传输产生各种非线性效应，影响因素包括激光器的高斯脉冲，本模拟是初始啁啾脉冲的脉冲形状。(The transmission of ultrashort pulses in optical fibers produces various non-linear effects. The influencing factors include the Gaussian pulse of the laser. This simulation is the pulse shape of the initial chirped pulse.)

说明：  通过拉格朗日方程模拟仿真双摆系统的运动过程，并生成poincare映射图(The motion process of double pendulum system is simulated by Lagrange equation, and Poincare map is generated.)

实现快速分数阶傅里叶变换功能。分数阶傅里叶变换是整数傅里叶变换的普遍形式，可用于光的菲涅尔衍射模拟。(The function of fast fractional Fourier transform is realized. Fractional Fourier transform is a general form of integer Fourier transform, which can be used to simulate Fresnel diffraction of light.)

说明：  基于晶体塑性自洽理论 vpsc 模拟多晶体塑性变形的织构演化(Texture evolution of polycrystalline plastic deformation simulated by vpsc based on crystal plasticity self consistent theory)

说明：  主要用于计算最常见的二维材料石墨烯纳米带的能带结构(It is mainly used to calculate the energy band structure of graphene nanoribbons, the most common two-dimensional material.)

用于计算传热学五种常见对流扩散数值计算对比(Numerical comparison of five kinds of convection diffusion)

求解椭圆型方程生成二维翼型网格，并采用逐线松弛迭代技术求解了二维翼型绕流，这是CFD计算中的典型例子，是cfd初学者的很好的学习例子。(Solving elliptic equations, generating two-dimensional airfoil mesh, and using line relaxation iterative technique to solve the two-dimensional airfoil flow, which is a typical example of CFD calculation, a good example for new CFD learner.)

说明：  6901-计算空气动力学-傅德薰 1994，优质的计算空气动力学算法教材，适合初学者学习(6901 - computational aerodynamics - Fu Dexun 1994, high quality computational aerodynamics algorithm textbook, suitable for beginners to learn)

分层的一维热传导方程的有限差分法MATLAB程序，是简单的显式差分格式，尽量使用了矩阵运算，没有符号运算。 文件chafen1.m以路面为例，假设有多层建筑材料，热传导系数已经在代码中给出。用户使用时请按自己需要修改chafen1.m文件，增减层数，修改热传导系数等即可。(One-dimensional heat conduction equation finite difference method MATLAB program, is a simple explicit difference format, as far as possible use of matrix operations, no symbolic operations The file Chafen 1.m takes the road surface as an example, assuming that there are multiple layers of building materials, the thermal conductivity is given in the code. Users should modify the Chafen 1.m file according to their own needs, increase or decrease the number of layers, modify the thermal conductivity and so on.)