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Can I solve PDE in Mathematica?


Hi, there.

I want to know if I can solve this simutaneous PDE problem using
Mathematica.

I'm going to using numerical solution of differential equations.

Please, let me know. Is this possible?

The problem is like this.
(I wrote "d" instead of "round")

 dX/dt = -dX/dZ - 5*10^12*exp(-20000/(1.987*T))*X

 dY/dt = -dY/dZ + 5*10^12*exp(-20000/(1.987*T))*X -
5*10^6*exp(-50000/(1.987*T))*Y

 dT/dt = -dT/dZ -1.32*10^17*exp(-20000/(1.987*T))*X -
2.37*10^11*exp(-50000/(1.987*T))*Y + 9620(350-T)


   where X=X(t,z)  Y=Y(t,z)  Z=Z(t,z)

    Initial Condition           X(0,z)=4  Y(0,z)=0  Z(0,z)=320
    Boundary Condition        X(t,0)=4  Y(t,0)=0  Z(t,0)=320



I'll thank U for your comment.












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