Matlab 2D hyperbolic partial differential equation change to 1D

Question

Amit Kumar 2014-5-14

1
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https://ww2.mathworks.cn/matlabcentral/answers/129640-matlab-2d-hyperbolic-partial-differential-equation-change-to-1d

编辑： Amit Kumar 2014-5-14

I wish to change 2D hyperbolic PDE script to 1D PDE. I am a beginner in PDE to want to study the code and changes. Below is my code (Code is from matlab documentation). If I want to change to 1D, what part will change?

clear all;
clc;
close all;
[p,e,t]=initmesh('squareg'); 
x=p(1,:)'; 
y=p(2,:)'; 
u0=atan(cos(pi/2*x)); 
ut0=3*sin(pi*x).*exp(cos(pi*y)); 
n=31;
tlist=linspace(0,5,31); 
uu=hyperbolic(u0,ut0,tlist,'squareb3',p,e,t,1,0,0,1); 
figure; set(gcf,'renderer','zbuffer');
delta=-1:0.1:1;
[uxy,tn,a2,a3]=tri2grid(p,t,uu(:,1),delta,delta);
gp=[tn;a2;a3];
newplot;
umax=max(max(uu));
umin=min(min(uu));
for i=1:n
    pdeplot(p,e,t,'xydata',uu(:,i),'zdata',uu(:,i),'zstyle','continuous',...
                  'mesh','off','xygrid','on','gridparam',gp,'colorbar','off');
    axis([-1 1 -1 1 umin umax]); caxis([umin umax]);
    M(i)=getframe;
end
movie(M,1);

By the way, is there any sample code to represent 1D hyperbolic PDE of string vibration? I searched a lot, but finally found it in malab documentation. Many codes implement finite difference method, but I want to use huperbolic function builtin matlab. So any references, suggestions, comments most welcome. Thanks in advance!