function un=LW_utux0_3(dx,t)

Burgers equation：

ut + (1/2*u^2)x = 0

初始条件为：

u(x,0) = exp[-10(4x-1)^2]

边界条件为：

u(0,t)=0,u(1,t)=0

本题要求：

使用Lax-Windroff格式，选择 dx=0.01, 计算并画出当

t=0.15，和t=0.3时的数值解

输入：

dx--数值格式的x轴上的分割

r--r=dt/dx,本题预设r=0.5

t--要求解的时间

输出：

un--在时间t时的1×N数值解矩阵

输出图像：

数值解的图像-function un = LW_utux0_3 (dx, t)　 Burgers equation:　ut+ (1/2* u ^ 2) x = 0　 Initial conditions:　u (x, 0) = exp [-10 (4x- 1) ^ 2]　boundary conditions:　u (0, t) = 0, u (1, t) = 0　of the questions asked:　using the Lax-Windroff format, select dx = 0.01, calculated and drawn as　t = 0.15, and t = 0.3　of the numerical solution of input:　dx- x-axis numerical format partition　r- r = dt/dx, the title by default r = 0.5　t- to be solved Time　Output:　un- 1N numerical solution matrix　of the output image at time t:　Numerical Solution of the image