1、Matlab 的离散点曲线导数曲率数值模拟方法曲率公式：模拟方法： 复制内容到剪贴板 代码:clc; clear all; close all;x0 = linspace(0, 1);y0 = sin(x0).*cos(x0);h = abs(diff(x0(2), x0(1);% 模拟一阶导figure; box on; hold on;ythe1 = cos(x0).2 - sin(x0).2; %理论一阶导yapp1 = gradient(y0, h); %matlab 数值近似plot(x0, ythe1, .);plot(x0, yapp1, r);legend(理论值, 模拟值);
2、title(模拟一阶导);% 模拟二阶导figure; box on; hold on;ythe2 = (-4)*cos(x0).*sin(x0); %理论二阶导yapp2 = 2*2*del2(y0, h); %matlab 数值近似plot(x0, ythe2,.);plot(x0, yapp2,r);legend(理论值, 模拟值);title(模拟二阶导);% 模拟曲率syms x yy = sin(x)*cos(x);yd2 = diff(y, 2);yd1 = diff(y, 1);k = abs(yd2)/(1+yd12)(3/2);k1 = subs(k, x, x0);k2 = abs(yapp2)./(1+yapp1.2).(3/2);figure; box on; hold on;plot(x0, k1, .);plot(x0, k2, r);legend(理论值, 模拟值, Location, NorthWest);title(模拟曲率);效果：
