Solving First Order PDEs

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Jilan Samiuddin
Jilan Samiuddin 2015-9-3
回答： Torsten 2015-9-4
Hi, I have been trying to solve a set of PDE equations in MATLAB, but I have first order PDE equations in my system which I don't know how to solve in MATLAB. However, I could solve the second order PDE based on many examples I found over the net. I have attached the equations. Any help would be greatly appreciated on how to solve first order PDEs in MATLAB.
Thanks in advance.

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回答（1 个）

Torsten
Torsten 2015-9-4
If
0=z(1)<z(2)<...<z(N)=H
is a discretization in z-direction, approximate
dT_g/dz (z(i)) = (T_g(z(i))-T_g(z(i-1)))/(z(i)-z(i-1))
dT_l/dz (z(i)) = (T_l(z(i+1))-T_l(z(i)))/(z(i+1)-z(i))
Then solve the resulting system of ordinary differential equations using ODE15S, e.g..
Look up "method of lines".
Best wishes
Torsten.

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