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Can I solve more than two PDEs in 2D?

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Cécilia
Cécilia 2024-6-18
评论： Cécilia 2024-6-18
Hello,
I want to solve a system of several diffusion-equation reactions in 2D to simulate a gradient of proteins in a cell.
Something like:
du1/dt = D(d^2u1/dx^2+d^2u1/dy^2) + r1*u2 - r2u1
du2/dt = D(d^2u2/dx^2+d^2u2/dy^2) - r1*u2 + r3u3
...
I tried to solve it using the central difference method in space and the forward difference method in time, but I get negative concentration values... So I guess I did it wrong. I was wondering if I can use a solver like pde to solve more than two PDEs in 2D, but is it even possible? Which methods can I use?
Best,
Cecilia

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Torsten
Torsten 2024-6-18
移动：Torsten 2024-6-18
If you have a licence for the PDE Toolbox, you can apply it to solve your problem.
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