Chapter7

利用常用的四阶龙格-库塔公式求初值再分别利用米尔恩公式和改进的亚当斯方法及常用的四阶龙格-库塔公式求解其余的数值解，并计算它们与精确解的误差(By use of Runge- Kutta formula and then find the initial value, respectively, and improved the formula by Milne Adams methods and commonly used Runge- Kutta formula to solve the rest of the numerical solution, and calculate their error with the exact solution)

误差系统同步，matlaB程序，混沌系统(Synchronization error system, matlaB procedures, chaotic systems)

matlab 用于介绍求解方程包含非线性方程和线性方程的方法(matlab about how to solute the noliner equation etc)

matlab中用来作单位根检测的程序，内有使用说明(matlab in the unit root test used for the procedure, there are instructions)

sor消元法、共轭梯度法求解hilbert病态方程组(sor elimination method, conjugate gradient method for solving equations hilbert ill)

数字脉冲宽度调制，将输入的数字信号转换为对应占空比的模拟波形(Digital pulse width modulation, the digital signal is converted to the corresponding input of the duty cycle of the analog waveform)

说明：  图像二值化，边缘提取包含sobel、log、canny等方法，还有图像直方图均衡化，对比度增强等(Image binarization, edge extraction includes sobel, log, canny and other methods, as well as image histogram equalization, contrast enhancement and so on.)

说明：  模糊控制PID的simulink仿真(Simulink simulation of fuzzy PID control)

说明：  利用Matalab软件分别编写子函数实现数字图像压缩及解压缩处理，并统计分析压缩处理算法所能够实现的压缩比及解压图像和原始图像间的均方根误差。(Functions were written by Matalab software for digital image compression and decompression processing, and statistical analysis of compression algorithms to achieve the compression ratio and decompression images and root mean square error between the original image.)

偏微分方程的数值解法的MATLAB程序介绍了应用最为广泛的椭圆型、双曲型、抛物型偏微分方程的数值解法，而且还详细编程实现了每种方程的多种常见数值解法。 附件使用MATLAB编程来实现这些算法(introduces the most widely elliptic, hyperbolic, parabolic partial differential equations numerical solution, but also the details of each programming a variety of common numerical solution of equations. Attachments using the MATLAB program to implement these algorithms)