说明：  function [ue,un]=LW_utux0_2(v,dt,t) 一个简单的双曲型偏微分方程： ut + ux = 0 初始条件为： u(x,0) = exp[-10(4x-1)^2] 边界条件为： u(-1,t)=0,u(1,t)=0. 本题要求： 使用Lax-Windroff格式，选择 v=0.5, 计算并画出当dt=0.01和0.0025时， 方程在t=0.5，x在(-1,1)时的数值解和精确解 输入： v--即a*dt/dx dt--数值格式的时间步 t--要求解的时间 输出： ue--在时间t时的1×N精确解矩阵 un--在时间t时的1×N数值解矩阵 输出图像： 精确解和数值解的图像
(function [ue, un] = LW_utux0_2 (v, dt, t) A simple hyperbolic partial differential equation: ut+ ux = 0 initial conditions: u (x, 0) = exp [- 10 (4x-1) ^ 2] of the boundary conditions: u (-1, t) = 0, u (1, t) = 0 of the required title: using the Lax-Windroff format, select v = 0.5, calculate and draw when dt = 0.01 and 0.0025, equation t = 0.5, x numerical solution at (-1,1) and the exact solution when input: v- that is a* dt/dx dt-- the time-step numerical format t- the time to be solved Output: ue- 1N exact solution at time t matrix un- 1N numerical solution matrix of the output image at time t : image and numerical solutions of the exact solution)