How can I solve this PDE kinetics equation with Symbolic Toolbox?

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Hello , I want to solve a PDE from a kinetics equation as depicted next:
which
I made the following code ,but dont know what i have to change to make it run.
syms y(t,z)
U=10;
E_l=1e-8;
cyanide=159;
oxygen=8;
r=0.706e-3*(cyanide^1.38)*(oxygen^0.161)*(y-0.17)^2.19
r(t, z) = 
ode = -(diff(y,t))-U*(diff(y,z,1))+E_l*(diff(y,z,2))-r == 0
ode(t, z) = 
ySol = dsolve(ode)
Error using dsolve>mupadDsolve
Symbolic ODEs must have exactly one independent variable.

Error in dsolve (line 203)
sol = mupadDsolve(args, options);
Thanks in advance for the help.

回答(1 个)

Torsten
Torsten 2023-10-9
PDEs cannot be solved with the symbolic toolbox.
Use "pdepe" as numerical solver instead.

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