一阶二维双曲方程matlab

一阶二维双曲方程可以用Matlab的pdepe函数求解。具体步骤如下：

1. 定义方程和边界条件
2. 定义网格
3. 调用pdepe函数求解

下面是一个示例代码：

function pdex1
m = 0;
x = linspace(0,1,20);
t = linspace(0,1,100);
sol = pdepe(m,@pdex1pde,@pdex1ic,@pdex1bc,x,t);
u = sol(:,:,1);
surf(x,t,u)
xlabel('Distance x')
ylabel('Time t')
zlabel('Solution u')
end

function [c,f,s] = pdex1pde(x,t,u,DuDx)
c = 1;
f = DuDx;
s = 0;
end

function u0 = pdex1ic(x)
u0 = sin(pi*x);
end

function [pl,ql,pr,qr] = pdex1bc(xl,ul,xr,ur,t)
pl = ul;
ql = 0;
pr = ur - 1;
qr = 0;
end