Error in using MATLAB PDEPE function - incorrect matrix sizing

Hello!

I am having some issues modifying the code on Matlab Example 2 pdex4 function on the PDEPE help page. I believe the problem is incorrectly sized matrices, but I am not sure where I should be using '.*' vs'*'.

function [x,t,u1, u2]=pdex4attempt(dummy)

close all;

m = 0;

x = [0 0.005 0.01 0.05 0.1 0.2 0.5 0.7 0.9 0.95 0.99 0.995 1];

t = [0 0.005 0.01 0.05 0.1 0.5 1];

sol = pdepe(m,@pdex4pde,@pdex4ic,@pdex4bc,x,t);

u1 = sol(:,:,1);

u2 = sol(:,:,2);

% --------------------------------------------------------------

function [c,f,s] = pdex4pde(x,t,u,DuDx)

Pe=1000;

gamma=2;

phi=0.4;

c = [Pe; 1]; 

f = [DuDx-Pe.*u(1); 0];

F=(gamma.*u(1)-u(2));

s = [-((1-phi)/phi)*F*Pe; F]; 

end

% --------------------------------------------------------------

function u0 = pdex4ic(x)

u0 = [0; 0]; 

end

% --------------------------------------------------------------

function [pl,ql,pr,qr] = pdex4bc(xl,ul,xr,ur,t)

Pe=1000;

beta=0;

pl = [ul(1); 0]; 

ql = [0; 0]; 

pr = [-beta+Pe.*ur(1); 0]; 

qr = [1; 0]; 

end

[Torsten]

pdepe is designed to solve parabolic-elliptic PDEs, not a mixture of ODEs and PDEs as in your case.

Answer 1

[Bill Greene]

The line

f = [DuDx-Pe.*u(1); 0];

is creating a variable f with three rows rather than the correct two rows because DuDx, itself, is dimensioned 2x1. Since you didn't post your equations it is impossible to say what is the correct expression. Do you perhaps want DuDx(1) instead of just DuDx?